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Finding the Fourth Proportional to 10,715.60, 16,078.20 and 4,869.20

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Solution

The fourth proportional to 10,715.60, 16,078.20 and 4,869.20 is: 7,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.60 : 16,078.20 = 4,869.20 : x
  2. Step 2: Convert to fraction form
    10,715.60/16,078.20 = 4,869.20/x
  3. Step 3: Cross multiply
    10,715.60x = 16,078.20 × 4,869.20
  4. Step 4: Simplify right side
    10,715.60x = 78,287,971.44
  5. Step 5: Solve for x
    x = 78,287,971.44/10,715.60
  6. Step 6: Final answer
    x = 7,305.98

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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.