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Finding the Fourth Proportional to 10,520.88, 15,782.88 and 4,979.60

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Solution

The fourth proportional to 10,520.88, 15,782.88 and 4,979.60 is: 7,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.88 : 15,782.88 = 4,979.60 : x
  2. Step 2: Convert to fraction form
    10,520.88/15,782.88 = 4,979.60/x
  3. Step 3: Cross multiply
    10,520.88x = 15,782.88 × 4,979.60
  4. Step 4: Simplify right side
    10,520.88x = 78,592,429.25
  5. Step 5: Solve for x
    x = 78,592,429.25/10,520.88
  6. Step 6: Final answer
    x = 7,470.14

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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.