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Finding the Fourth Proportional to 10,661, 14,712.18 and 5,945.60

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Solution

The fourth proportional to 10,661, 14,712.18 and 5,945.60 is: 8,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661 : 14,712.18 = 5,945.60 : x
  2. Step 2: Convert to fraction form
    10,661/14,712.18 = 5,945.60/x
  3. Step 3: Cross multiply
    10,661x = 14,712.18 × 5,945.60
  4. Step 4: Simplify right side
    10,661x = 87,472,737.41
  5. Step 5: Solve for x
    x = 87,472,737.41/10,661
  6. Step 6: Final answer
    x = 8,204.93

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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.