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Finding the Fourth Proportional to 21,847.68, 32,815.68 and 13,099.20

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Solution

The fourth proportional to 21,847.68, 32,815.68 and 13,099.20 is: 19,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.68 : 32,815.68 = 13,099.20 : x
  2. Step 2: Convert to fraction form
    21,847.68/32,815.68 = 13,099.20/x
  3. Step 3: Cross multiply
    21,847.68x = 32,815.68 × 13,099.20
  4. Step 4: Simplify right side
    21,847.68x = 429,859,155.46
  5. Step 5: Solve for x
    x = 429,859,155.46/21,847.68
  6. Step 6: Final answer
    x = 19,675.28

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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.