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Finding the Fourth Proportional to 10,561, 14,560.92 and 6,777.49

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Solution

The fourth proportional to 10,561, 14,560.92 and 6,777.49 is: 9,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561 : 14,560.92 = 6,777.49 : x
  2. Step 2: Convert to fraction form
    10,561/14,560.92 = 6,777.49/x
  3. Step 3: Cross multiply
    10,561x = 14,560.92 × 6,777.49
  4. Step 4: Simplify right side
    10,561x = 98,686,489.69
  5. Step 5: Solve for x
    x = 98,686,489.69/10,561
  6. Step 6: Final answer
    x = 9,344.43

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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.