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Finding the Fourth Proportional to 10,603.64, 15,909.96 and 5,672

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Solution

The fourth proportional to 10,603.64, 15,909.96 and 5,672 is: 8,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.64 : 15,909.96 = 5,672 : x
  2. Step 2: Convert to fraction form
    10,603.64/15,909.96 = 5,672/x
  3. Step 3: Cross multiply
    10,603.64x = 15,909.96 × 5,672
  4. Step 4: Simplify right side
    10,603.64x = 90,241,293.12
  5. Step 5: Solve for x
    x = 90,241,293.12/10,603.64
  6. Step 6: Final answer
    x = 8,510.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.