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Finding the Fourth Proportional to 7,128, 10,680.30 and 5,037.78

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Solution

The fourth proportional to 7,128, 10,680.30 and 5,037.78 is: 7,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128 : 10,680.30 = 5,037.78 : x
  2. Step 2: Convert to fraction form
    7,128/10,680.30 = 5,037.78/x
  3. Step 3: Cross multiply
    7,128x = 10,680.30 × 5,037.78
  4. Step 4: Simplify right side
    7,128x = 53,805,001.73
  5. Step 5: Solve for x
    x = 53,805,001.73/7,128
  6. Step 6: Final answer
    x = 7,548.40

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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.