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Finding the Fourth Proportional to 10,043.60, 15,072.60 and 5,656.40

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Solution

The fourth proportional to 10,043.60, 15,072.60 and 5,656.40 is: 8,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.60 : 15,072.60 = 5,656.40 : x
  2. Step 2: Convert to fraction form
    10,043.60/15,072.60 = 5,656.40/x
  3. Step 3: Cross multiply
    10,043.60x = 15,072.60 × 5,656.40
  4. Step 4: Simplify right side
    10,043.60x = 85,256,654.64
  5. Step 5: Solve for x
    x = 85,256,654.64/10,043.60
  6. Step 6: Final answer
    x = 8,488.65

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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.