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Finding the Fourth Proportional to 28,656.80, 42,988.11 and 9,932.54

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Solution

The fourth proportional to 28,656.80, 42,988.11 and 9,932.54 is: 14,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,656.80 : 42,988.11 = 9,932.54 : x
  2. Step 2: Convert to fraction form
    28,656.80/42,988.11 = 9,932.54/x
  3. Step 3: Cross multiply
    28,656.80x = 42,988.11 × 9,932.54
  4. Step 4: Simplify right side
    28,656.80x = 426,980,907.16
  5. Step 5: Solve for x
    x = 426,980,907.16/28,656.80
  6. Step 6: Final answer
    x = 14,899.81

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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.