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Finding the Fourth Proportional to 1,726.87, 2,573.14 and 1,643.18

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Solution

The fourth proportional to 1,726.87, 2,573.14 and 1,643.18 is: 2,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.87 : 2,573.14 = 1,643.18 : x
  2. Step 2: Convert to fraction form
    1,726.87/2,573.14 = 1,643.18/x
  3. Step 3: Cross multiply
    1,726.87x = 2,573.14 × 1,643.18
  4. Step 4: Simplify right side
    1,726.87x = 4,228,132.19
  5. Step 5: Solve for x
    x = 4,228,132.19/1,726.87
  6. Step 6: Final answer
    x = 2,448.44

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Half scale
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Double scale
Find fourth proportional to 1,727.87, 2,574.63 and 1,644.18
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.