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Finding the Fourth Proportional to 21,924, 32,869.58 and 7,124.09

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Solution

The fourth proportional to 21,924, 32,869.58 and 7,124.09 is: 10,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924 : 32,869.58 = 7,124.09 : x
  2. Step 2: Convert to fraction form
    21,924/32,869.58 = 7,124.09/x
  3. Step 3: Cross multiply
    21,924x = 32,869.58 × 7,124.09
  4. Step 4: Simplify right side
    21,924x = 234,165,646.21
  5. Step 5: Solve for x
    x = 234,165,646.21/21,924
  6. Step 6: Final answer
    x = 10,680.79

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1.5x scale

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.