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Finding the Fourth Proportional to 28,358.61, 42,534.66 and 7,583.73

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Solution

The fourth proportional to 28,358.61, 42,534.66 and 7,583.73 is: 11,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,358.61 : 42,534.66 = 7,583.73 : x
  2. Step 2: Convert to fraction form
    28,358.61/42,534.66 = 7,583.73/x
  3. Step 3: Cross multiply
    28,358.61x = 42,534.66 × 7,583.73
  4. Step 4: Simplify right side
    28,358.61x = 322,571,377.08
  5. Step 5: Solve for x
    x = 322,571,377.08/28,358.61
  6. Step 6: Final answer
    x = 11,374.72

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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.