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Finding the Fourth Proportional to 14,917.60, 22,350.80 and 9,720.80

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Solution

The fourth proportional to 14,917.60, 22,350.80 and 9,720.80 is: 14,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.60 : 22,350.80 = 9,720.80 : x
  2. Step 2: Convert to fraction form
    14,917.60/22,350.80 = 9,720.80/x
  3. Step 3: Cross multiply
    14,917.60x = 22,350.80 × 9,720.80
  4. Step 4: Simplify right side
    14,917.60x = 217,267,656.64
  5. Step 5: Solve for x
    x = 217,267,656.64/14,917.60
  6. Step 6: Final answer
    x = 14,564.52

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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.