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Finding the Fourth Proportional to 7,871.85, 10,866.76 and 5,604.66

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Solution

The fourth proportional to 7,871.85, 10,866.76 and 5,604.66 is: 7,737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.85 : 10,866.76 = 5,604.66 : x
  2. Step 2: Convert to fraction form
    7,871.85/10,866.76 = 5,604.66/x
  3. Step 3: Cross multiply
    7,871.85x = 10,866.76 × 5,604.66
  4. Step 4: Simplify right side
    7,871.85x = 60,904,481.09
  5. Step 5: Solve for x
    x = 60,904,481.09/7,871.85
  6. Step 6: Final answer
    x = 7,737.00

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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.