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Finding the Fourth Proportional to 10,772.76, 14,875.02 and 6,997.80

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Solution

The fourth proportional to 10,772.76, 14,875.02 and 6,997.80 is: 9,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.76 : 14,875.02 = 6,997.80 : x
  2. Step 2: Convert to fraction form
    10,772.76/14,875.02 = 6,997.80/x
  3. Step 3: Cross multiply
    10,772.76x = 14,875.02 × 6,997.80
  4. Step 4: Simplify right side
    10,772.76x = 104,092,414.96
  5. Step 5: Solve for x
    x = 104,092,414.96/10,772.76
  6. Step 6: Final answer
    x = 9,662.56

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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.