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Finding the Fourth Proportional to 10,245.68, 15,368.16 and 3,320

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Solution

The fourth proportional to 10,245.68, 15,368.16 and 3,320 is: 4,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.68 : 15,368.16 = 3,320 : x
  2. Step 2: Convert to fraction form
    10,245.68/15,368.16 = 3,320/x
  3. Step 3: Cross multiply
    10,245.68x = 15,368.16 × 3,320
  4. Step 4: Simplify right side
    10,245.68x = 51,022,291.20
  5. Step 5: Solve for x
    x = 51,022,291.20/10,245.68
  6. Step 6: Final answer
    x = 4,979.88

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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.