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Finding the Fourth Proportional to 21,505.40, 32,258.10 and 9,217.40

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Solution

The fourth proportional to 21,505.40, 32,258.10 and 9,217.40 is: 13,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.40 : 32,258.10 = 9,217.40 : x
  2. Step 2: Convert to fraction form
    21,505.40/32,258.10 = 9,217.40/x
  3. Step 3: Cross multiply
    21,505.40x = 32,258.10 × 9,217.40
  4. Step 4: Simplify right side
    21,505.40x = 297,335,810.94
  5. Step 5: Solve for x
    x = 297,335,810.94/21,505.40
  6. Step 6: Final answer
    x = 13,826.10

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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.