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Finding the Fourth Proportional to 8,959.40, 13,437.82 and 2,385

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Solution

The fourth proportional to 8,959.40, 13,437.82 and 2,385 is: 3,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.40 : 13,437.82 = 2,385 : x
  2. Step 2: Convert to fraction form
    8,959.40/13,437.82 = 2,385/x
  3. Step 3: Cross multiply
    8,959.40x = 13,437.82 × 2,385
  4. Step 4: Simplify right side
    8,959.40x = 32,049,200.70
  5. Step 5: Solve for x
    x = 32,049,200.70/8,959.40
  6. Step 6: Final answer
    x = 3,577.16

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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.