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Finding the Fourth Proportional to 10,442.80, 15,664.20 and 5,246.80

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Solution

The fourth proportional to 10,442.80, 15,664.20 and 5,246.80 is: 7,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.80 : 15,664.20 = 5,246.80 : x
  2. Step 2: Convert to fraction form
    10,442.80/15,664.20 = 5,246.80/x
  3. Step 3: Cross multiply
    10,442.80x = 15,664.20 × 5,246.80
  4. Step 4: Simplify right side
    10,442.80x = 82,186,924.56
  5. Step 5: Solve for x
    x = 82,186,924.56/10,442.80
  6. Step 6: Final answer
    x = 7,870.20

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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.