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Finding the Fourth Proportional to 21,425.70, 32,132.32 and 8,275.08

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Solution

The fourth proportional to 21,425.70, 32,132.32 and 8,275.08 is: 12,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.70 : 32,132.32 = 8,275.08 : x
  2. Step 2: Convert to fraction form
    21,425.70/32,132.32 = 8,275.08/x
  3. Step 3: Cross multiply
    21,425.70x = 32,132.32 × 8,275.08
  4. Step 4: Simplify right side
    21,425.70x = 265,897,518.59
  5. Step 5: Solve for x
    x = 265,897,518.59/21,425.70
  6. Step 6: Final answer
    x = 12,410.21

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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.