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Finding the Fourth Proportional to 21,687.84, 32,528.88 and 6,106.68

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Solution

The fourth proportional to 21,687.84, 32,528.88 and 6,106.68 is: 9,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.84 : 32,528.88 = 6,106.68 : x
  2. Step 2: Convert to fraction form
    21,687.84/32,528.88 = 6,106.68/x
  3. Step 3: Cross multiply
    21,687.84x = 32,528.88 × 6,106.68
  4. Step 4: Simplify right side
    21,687.84x = 198,643,460.92
  5. Step 5: Solve for x
    x = 198,643,460.92/21,687.84
  6. Step 6: Final answer
    x = 9,159.21

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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.