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Finding the Fourth Proportional to 10,438.80, 15,660 and 3,043.44

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Solution

The fourth proportional to 10,438.80, 15,660 and 3,043.44 is: 4,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.80 : 15,660 = 3,043.44 : x
  2. Step 2: Convert to fraction form
    10,438.80/15,660 = 3,043.44/x
  3. Step 3: Cross multiply
    10,438.80x = 15,660 × 3,043.44
  4. Step 4: Simplify right side
    10,438.80x = 47,660,270.40
  5. Step 5: Solve for x
    x = 47,660,270.40/10,438.80
  6. Step 6: Final answer
    x = 4,565.68

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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.