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Finding the Fourth Proportional to 10,657.60, 15,969.60 and 5,720.80

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Solution

The fourth proportional to 10,657.60, 15,969.60 and 5,720.80 is: 8,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.60 : 15,969.60 = 5,720.80 : x
  2. Step 2: Convert to fraction form
    10,657.60/15,969.60 = 5,720.80/x
  3. Step 3: Cross multiply
    10,657.60x = 15,969.60 × 5,720.80
  4. Step 4: Simplify right side
    10,657.60x = 91,358,887.68
  5. Step 5: Solve for x
    x = 91,358,887.68/10,657.60
  6. Step 6: Final answer
    x = 8,572.18

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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.