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Finding the Fourth Proportional to 1,612.99, 2,403.27 and 1,506.90

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Solution

The fourth proportional to 1,612.99, 2,403.27 and 1,506.90 is: 2,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.99 : 2,403.27 = 1,506.90 : x
  2. Step 2: Convert to fraction form
    1,612.99/2,403.27 = 1,506.90/x
  3. Step 3: Cross multiply
    1,612.99x = 2,403.27 × 1,506.90
  4. Step 4: Simplify right side
    1,612.99x = 3,621,496.58
  5. Step 5: Solve for x
    x = 3,621,496.58/1,612.99
  6. Step 6: Final answer
    x = 2,245.21

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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.