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Finding the Fourth Proportional to 21,354.30, 32,034.78 and 10,258.92

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Solution

The fourth proportional to 21,354.30, 32,034.78 and 10,258.92 is: 15,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.30 : 32,034.78 = 10,258.92 : x
  2. Step 2: Convert to fraction form
    21,354.30/32,034.78 = 10,258.92/x
  3. Step 3: Cross multiply
    21,354.30x = 32,034.78 × 10,258.92
  4. Step 4: Simplify right side
    21,354.30x = 328,642,245.24
  5. Step 5: Solve for x
    x = 328,642,245.24/21,354.30
  6. Step 6: Final answer
    x = 15,389.98

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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.