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Finding the Fourth Proportional to 1,742, 2,404.02 and 956.10

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Solution

The fourth proportional to 1,742, 2,404.02 and 956.10 is: 1,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742 : 2,404.02 = 956.10 : x
  2. Step 2: Convert to fraction form
    1,742/2,404.02 = 956.10/x
  3. Step 3: Cross multiply
    1,742x = 2,404.02 × 956.10
  4. Step 4: Simplify right side
    1,742x = 2,298,475.12
  5. Step 5: Solve for x
    x = 2,298,475.12/1,742
  6. Step 6: Final answer
    x = 1,319.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.