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Finding the Fourth Proportional to 10,465, 15,691.14 and 4,920

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Solution

The fourth proportional to 10,465, 15,691.14 and 4,920 is: 7,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465 : 15,691.14 = 4,920 : x
  2. Step 2: Convert to fraction form
    10,465/15,691.14 = 4,920/x
  3. Step 3: Cross multiply
    10,465x = 15,691.14 × 4,920
  4. Step 4: Simplify right side
    10,465x = 77,200,408.80
  5. Step 5: Solve for x
    x = 77,200,408.80/10,465
  6. Step 6: Final answer
    x = 7,377.01

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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.