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Finding the Fourth Proportional to 11,354.16, 15,669.04 and 6,318.72

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Solution

The fourth proportional to 11,354.16, 15,669.04 and 6,318.72 is: 8,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.16 : 15,669.04 = 6,318.72 : x
  2. Step 2: Convert to fraction form
    11,354.16/15,669.04 = 6,318.72/x
  3. Step 3: Cross multiply
    11,354.16x = 15,669.04 × 6,318.72
  4. Step 4: Simplify right side
    11,354.16x = 99,008,276.43
  5. Step 5: Solve for x
    x = 99,008,276.43/11,354.16
  6. Step 6: Final answer
    x = 8,720.00

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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.