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Finding the Fourth Proportional to 10,321.60, 15,519.78 and 9,509.68

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Solution

The fourth proportional to 10,321.60, 15,519.78 and 9,509.68 is: 14,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.60 : 15,519.78 = 9,509.68 : x
  2. Step 2: Convert to fraction form
    10,321.60/15,519.78 = 9,509.68/x
  3. Step 3: Cross multiply
    10,321.60x = 15,519.78 × 9,509.68
  4. Step 4: Simplify right side
    10,321.60x = 147,588,141.47
  5. Step 5: Solve for x
    x = 147,588,141.47/10,321.60
  6. Step 6: Final answer
    x = 14,298.96

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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.