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Finding the Fourth Proportional to 28,642.87, 42,966.35 and 11,986.13

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Solution

The fourth proportional to 28,642.87, 42,966.35 and 11,986.13 is: 17,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,642.87 : 42,966.35 = 11,986.13 : x
  2. Step 2: Convert to fraction form
    28,642.87/42,966.35 = 11,986.13/x
  3. Step 3: Cross multiply
    28,642.87x = 42,966.35 × 11,986.13
  4. Step 4: Simplify right side
    28,642.87x = 515,000,107.47
  5. Step 5: Solve for x
    x = 515,000,107.47/28,642.87
  6. Step 6: Final answer
    x = 17,980.05

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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.