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Finding the Fourth Proportional to 28,354.68, 42,532.56 and 7,578

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Solution

The fourth proportional to 28,354.68, 42,532.56 and 7,578 is: 11,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,354.68 : 42,532.56 = 7,578 : x
  2. Step 2: Convert to fraction form
    28,354.68/42,532.56 = 7,578/x
  3. Step 3: Cross multiply
    28,354.68x = 42,532.56 × 7,578
  4. Step 4: Simplify right side
    28,354.68x = 322,311,739.68
  5. Step 5: Solve for x
    x = 322,311,739.68/28,354.68
  6. Step 6: Final answer
    x = 11,367.14

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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.