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Finding the Fourth Proportional to 11,689.55, 17,613.23 and 9,655.13

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Solution

The fourth proportional to 11,689.55, 17,613.23 and 9,655.13 is: 14,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.55 : 17,613.23 = 9,655.13 : x
  2. Step 2: Convert to fraction form
    11,689.55/17,613.23 = 9,655.13/x
  3. Step 3: Cross multiply
    11,689.55x = 17,613.23 × 9,655.13
  4. Step 4: Simplify right side
    11,689.55x = 170,058,021.13
  5. Step 5: Solve for x
    x = 170,058,021.13/11,689.55
  6. Step 6: Final answer
    x = 14,547.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.