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Finding the Fourth Proportional to 21,314.88, 32,006.88 and 20,416.32

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Solution

The fourth proportional to 21,314.88, 32,006.88 and 20,416.32 is: 30,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.88 : 32,006.88 = 20,416.32 : x
  2. Step 2: Convert to fraction form
    21,314.88/32,006.88 = 20,416.32/x
  3. Step 3: Cross multiply
    21,314.88x = 32,006.88 × 20,416.32
  4. Step 4: Simplify right side
    21,314.88x = 653,462,704.28
  5. Step 5: Solve for x
    x = 653,462,704.28/21,314.88
  6. Step 6: Final answer
    x = 30,657.58

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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.