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Finding the Fourth Proportional to 1,742, 2,403.96 and 956.05

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Solution

The fourth proportional to 1,742, 2,403.96 and 956.05 is: 1,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742 : 2,403.96 = 956.05 : x
  2. Step 2: Convert to fraction form
    1,742/2,403.96 = 956.05/x
  3. Step 3: Cross multiply
    1,742x = 2,403.96 × 956.05
  4. Step 4: Simplify right side
    1,742x = 2,298,293.94
  5. Step 5: Solve for x
    x = 2,298,293.94/1,742
  6. Step 6: Final answer
    x = 1,319.34

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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.