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Finding the Fourth Proportional to 10,480.57, 15,720.98 and 4,156.99

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Solution

The fourth proportional to 10,480.57, 15,720.98 and 4,156.99 is: 6,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.57 : 15,720.98 = 4,156.99 : x
  2. Step 2: Convert to fraction form
    10,480.57/15,720.98 = 4,156.99/x
  3. Step 3: Cross multiply
    10,480.57x = 15,720.98 × 4,156.99
  4. Step 4: Simplify right side
    10,480.57x = 65,352,006.35
  5. Step 5: Solve for x
    x = 65,352,006.35/10,480.57
  6. Step 6: Final answer
    x = 6,235.54

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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.