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Finding the Fourth Proportional to 23,790, 32,829.72 and 13,718.88

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Solution

The fourth proportional to 23,790, 32,829.72 and 13,718.88 is: 18,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,790 : 32,829.72 = 13,718.88 : x
  2. Step 2: Convert to fraction form
    23,790/32,829.72 = 13,718.88/x
  3. Step 3: Cross multiply
    23,790x = 32,829.72 × 13,718.88
  4. Step 4: Simplify right side
    23,790x = 450,386,989.11
  5. Step 5: Solve for x
    x = 450,386,989.11/23,790
  6. Step 6: Final answer
    x = 18,931.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.