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Finding the Fourth Proportional to 10,518, 15,777.12 and 2,726.34

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Solution

The fourth proportional to 10,518, 15,777.12 and 2,726.34 is: 4,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518 : 15,777.12 = 2,726.34 : x
  2. Step 2: Convert to fraction form
    10,518/15,777.12 = 2,726.34/x
  3. Step 3: Cross multiply
    10,518x = 15,777.12 × 2,726.34
  4. Step 4: Simplify right side
    10,518x = 43,013,793.34
  5. Step 5: Solve for x
    x = 43,013,793.34/10,518
  6. Step 6: Final answer
    x = 4,089.54

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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.