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Finding the Fourth Proportional to 21,460.87, 32,185.45 and 8,978.87

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Solution

The fourth proportional to 21,460.87, 32,185.45 and 8,978.87 is: 13,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.87 : 32,185.45 = 8,978.87 : x
  2. Step 2: Convert to fraction form
    21,460.87/32,185.45 = 8,978.87/x
  3. Step 3: Cross multiply
    21,460.87x = 32,185.45 × 8,978.87
  4. Step 4: Simplify right side
    21,460.87x = 288,989,063.13
  5. Step 5: Solve for x
    x = 288,989,063.13/21,460.87
  6. Step 6: Final answer
    x = 13,465.86

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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.