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Finding the Fourth Proportional to 10,651.68, 15,977.52 and 5,103.84

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Solution

The fourth proportional to 10,651.68, 15,977.52 and 5,103.84 is: 7,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.68 : 15,977.52 = 5,103.84 : x
  2. Step 2: Convert to fraction form
    10,651.68/15,977.52 = 5,103.84/x
  3. Step 3: Cross multiply
    10,651.68x = 15,977.52 × 5,103.84
  4. Step 4: Simplify right side
    10,651.68x = 81,546,705.68
  5. Step 5: Solve for x
    x = 81,546,705.68/10,651.68
  6. Step 6: Final answer
    x = 7,655.76

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Similar ratio
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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.