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Finding the Fourth Proportional to 10,437.76, 15,656.64 and 5,171.68

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Solution

The fourth proportional to 10,437.76, 15,656.64 and 5,171.68 is: 7,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.76 : 15,656.64 = 5,171.68 : x
  2. Step 2: Convert to fraction form
    10,437.76/15,656.64 = 5,171.68/x
  3. Step 3: Cross multiply
    10,437.76x = 15,656.64 × 5,171.68
  4. Step 4: Simplify right side
    10,437.76x = 80,971,131.96
  5. Step 5: Solve for x
    x = 80,971,131.96/10,437.76
  6. Step 6: Final answer
    x = 7,757.52

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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.