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Finding the Fourth Proportional to 10,805.73, 14,905.45 and 7,972.20

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Solution

The fourth proportional to 10,805.73, 14,905.45 and 7,972.20 is: 10,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.73 : 14,905.45 = 7,972.20 : x
  2. Step 2: Convert to fraction form
    10,805.73/14,905.45 = 7,972.20/x
  3. Step 3: Cross multiply
    10,805.73x = 14,905.45 × 7,972.20
  4. Step 4: Simplify right side
    10,805.73x = 118,829,228.49
  5. Step 5: Solve for x
    x = 118,829,228.49/10,805.73
  6. Step 6: Final answer
    x = 10,996.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.