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Finding the Fourth Proportional to 7,871.09, 10,862.87 and 5,878.19

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Solution

The fourth proportional to 7,871.09, 10,862.87 and 5,878.19 is: 8,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.09 : 10,862.87 = 5,878.19 : x
  2. Step 2: Convert to fraction form
    7,871.09/10,862.87 = 5,878.19/x
  3. Step 3: Cross multiply
    7,871.09x = 10,862.87 × 5,878.19
  4. Step 4: Simplify right side
    7,871.09x = 63,854,013.81
  5. Step 5: Solve for x
    x = 63,854,013.81/7,871.09
  6. Step 6: Final answer
    x = 8,112.47

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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.