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Finding the Fourth Proportional to 10,307.60, 15,457.80 and 5,375.60

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Solution

The fourth proportional to 10,307.60, 15,457.80 and 5,375.60 is: 8,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.60 : 15,457.80 = 5,375.60 : x
  2. Step 2: Convert to fraction form
    10,307.60/15,457.80 = 5,375.60/x
  3. Step 3: Cross multiply
    10,307.60x = 15,457.80 × 5,375.60
  4. Step 4: Simplify right side
    10,307.60x = 83,094,949.68
  5. Step 5: Solve for x
    x = 83,094,949.68/10,307.60
  6. Step 6: Final answer
    x = 8,061.52

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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.