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Finding the Fourth Proportional to 6,486.60, 9,721.80 and 4,753.20

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Solution

The fourth proportional to 6,486.60, 9,721.80 and 4,753.20 is: 7,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.60 : 9,721.80 = 4,753.20 : x
  2. Step 2: Convert to fraction form
    6,486.60/9,721.80 = 4,753.20/x
  3. Step 3: Cross multiply
    6,486.60x = 9,721.80 × 4,753.20
  4. Step 4: Simplify right side
    6,486.60x = 46,209,659.76
  5. Step 5: Solve for x
    x = 46,209,659.76/6,486.60
  6. Step 6: Final answer
    x = 7,123.86

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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.