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Finding the Fourth Proportional to 10,269.51, 15,378 and 8,192.53

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Solution

The fourth proportional to 10,269.51, 15,378 and 8,192.53 is: 12,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.51 : 15,378 = 8,192.53 : x
  2. Step 2: Convert to fraction form
    10,269.51/15,378 = 8,192.53/x
  3. Step 3: Cross multiply
    10,269.51x = 15,378 × 8,192.53
  4. Step 4: Simplify right side
    10,269.51x = 125,984,726.34
  5. Step 5: Solve for x
    x = 125,984,726.34/10,269.51
  6. Step 6: Final answer
    x = 12,267.84

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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.