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Finding the Fourth Proportional to 12,609.28, 17,402 and 9,417.04

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Solution

The fourth proportional to 12,609.28, 17,402 and 9,417.04 is: 12,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.28 : 17,402 = 9,417.04 : x
  2. Step 2: Convert to fraction form
    12,609.28/17,402 = 9,417.04/x
  3. Step 3: Cross multiply
    12,609.28x = 17,402 × 9,417.04
  4. Step 4: Simplify right side
    12,609.28x = 163,875,330.08
  5. Step 5: Solve for x
    x = 163,875,330.08/12,609.28
  6. Step 6: Final answer
    x = 12,996.41

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1.5x scale

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.