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Finding the Fourth Proportional to 10,613.03, 15,915.85 and 5,346

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Solution

The fourth proportional to 10,613.03, 15,915.85 and 5,346 is: 8,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.03 : 15,915.85 = 5,346 : x
  2. Step 2: Convert to fraction form
    10,613.03/15,915.85 = 5,346/x
  3. Step 3: Cross multiply
    10,613.03x = 15,915.85 × 5,346
  4. Step 4: Simplify right side
    10,613.03x = 85,086,120.74
  5. Step 5: Solve for x
    x = 85,086,120.74/10,613.03
  6. Step 6: Final answer
    x = 8,017.14

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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.