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Finding the Fourth Proportional to 7,871.73, 10,862.60 and 5,077.23

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Solution

The fourth proportional to 7,871.73, 10,862.60 and 5,077.23 is: 7,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.73 : 10,862.60 = 5,077.23 : x
  2. Step 2: Convert to fraction form
    7,871.73/10,862.60 = 5,077.23/x
  3. Step 3: Cross multiply
    7,871.73x = 10,862.60 × 5,077.23
  4. Step 4: Simplify right side
    7,871.73x = 55,151,893.21
  5. Step 5: Solve for x
    x = 55,151,893.21/7,871.73
  6. Step 6: Final answer
    x = 7,006.32

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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.