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Finding the Fourth Proportional to 21,998.60, 32,981.70 and 9,508.40

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Solution

The fourth proportional to 21,998.60, 32,981.70 and 9,508.40 is: 14,255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.60 : 32,981.70 = 9,508.40 : x
  2. Step 2: Convert to fraction form
    21,998.60/32,981.70 = 9,508.40/x
  3. Step 3: Cross multiply
    21,998.60x = 32,981.70 × 9,508.40
  4. Step 4: Simplify right side
    21,998.60x = 313,603,196.28
  5. Step 5: Solve for x
    x = 313,603,196.28/21,998.60
  6. Step 6: Final answer
    x = 14,255.60

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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.