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Finding the Fourth Proportional to 10,037.52, 15,050.80 and 7,970.80

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Solution

The fourth proportional to 10,037.52, 15,050.80 and 7,970.80 is: 11,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.52 : 15,050.80 = 7,970.80 : x
  2. Step 2: Convert to fraction form
    10,037.52/15,050.80 = 7,970.80/x
  3. Step 3: Cross multiply
    10,037.52x = 15,050.80 × 7,970.80
  4. Step 4: Simplify right side
    10,037.52x = 119,966,916.64
  5. Step 5: Solve for x
    x = 119,966,916.64/10,037.52
  6. Step 6: Final answer
    x = 11,951.85

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1.5x scale

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.