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Finding the Fourth Proportional to 11,354.11, 15,669.96 and 6,509.29

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Solution

The fourth proportional to 11,354.11, 15,669.96 and 6,509.29 is: 8,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.11 : 15,669.96 = 6,509.29 : x
  2. Step 2: Convert to fraction form
    11,354.11/15,669.96 = 6,509.29/x
  3. Step 3: Cross multiply
    11,354.11x = 15,669.96 × 6,509.29
  4. Step 4: Simplify right side
    11,354.11x = 102,000,313.93
  5. Step 5: Solve for x
    x = 102,000,313.93/11,354.11
  6. Step 6: Final answer
    x = 8,983.56

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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.