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Finding the Fourth Proportional to 10,662, 15,998.76 and 5,190

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Solution

The fourth proportional to 10,662, 15,998.76 and 5,190 is: 7,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662 : 15,998.76 = 5,190 : x
  2. Step 2: Convert to fraction form
    10,662/15,998.76 = 5,190/x
  3. Step 3: Cross multiply
    10,662x = 15,998.76 × 5,190
  4. Step 4: Simplify right side
    10,662x = 83,033,564.40
  5. Step 5: Solve for x
    x = 83,033,564.40/10,662
  6. Step 6: Final answer
    x = 7,787.80

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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.