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Finding the Fourth Proportional to 7,871.57, 10,863.53 and 5,878.66

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Solution

The fourth proportional to 7,871.57, 10,863.53 and 5,878.66 is: 8,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.57 : 10,863.53 = 5,878.66 : x
  2. Step 2: Convert to fraction form
    7,871.57/10,863.53 = 5,878.66/x
  3. Step 3: Cross multiply
    7,871.57x = 10,863.53 × 5,878.66
  4. Step 4: Simplify right side
    7,871.57x = 63,863,039.23
  5. Step 5: Solve for x
    x = 63,863,039.23/7,871.57
  6. Step 6: Final answer
    x = 8,113.13

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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.