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Finding the Fourth Proportional to 10,458.80, 14,432.96 and 5,742.80

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Solution

The fourth proportional to 10,458.80, 14,432.96 and 5,742.80 is: 7,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.80 : 14,432.96 = 5,742.80 : x
  2. Step 2: Convert to fraction form
    10,458.80/14,432.96 = 5,742.80/x
  3. Step 3: Cross multiply
    10,458.80x = 14,432.96 × 5,742.80
  4. Step 4: Simplify right side
    10,458.80x = 82,885,602.69
  5. Step 5: Solve for x
    x = 82,885,602.69/10,458.80
  6. Step 6: Final answer
    x = 7,924.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.