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Finding the Fourth Proportional to 28,508.88, 42,763.32 and 7,731.84

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Solution

The fourth proportional to 28,508.88, 42,763.32 and 7,731.84 is: 11,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,508.88 : 42,763.32 = 7,731.84 : x
  2. Step 2: Convert to fraction form
    28,508.88/42,763.32 = 7,731.84/x
  3. Step 3: Cross multiply
    28,508.88x = 42,763.32 × 7,731.84
  4. Step 4: Simplify right side
    28,508.88x = 330,639,148.11
  5. Step 5: Solve for x
    x = 330,639,148.11/28,508.88
  6. Step 6: Final answer
    x = 11,597.76

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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.