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Finding the Fourth Proportional to 1,726.95, 2,574.13 and 1,564.95

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Solution

The fourth proportional to 1,726.95, 2,574.13 and 1,564.95 is: 2,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.95 : 2,574.13 = 1,564.95 : x
  2. Step 2: Convert to fraction form
    1,726.95/2,574.13 = 1,564.95/x
  3. Step 3: Cross multiply
    1,726.95x = 2,574.13 × 1,564.95
  4. Step 4: Simplify right side
    1,726.95x = 4,028,380.83
  5. Step 5: Solve for x
    x = 4,028,380.83/1,726.95
  6. Step 6: Final answer
    x = 2,332.66

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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.