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Finding the Fourth Proportional to 7,877.72, 10,871.28 and 4,340.93

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Solution

The fourth proportional to 7,877.72, 10,871.28 and 4,340.93 is: 5,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.72 : 10,871.28 = 4,340.93 : x
  2. Step 2: Convert to fraction form
    7,877.72/10,871.28 = 4,340.93/x
  3. Step 3: Cross multiply
    7,877.72x = 10,871.28 × 4,340.93
  4. Step 4: Simplify right side
    7,877.72x = 47,191,411.13
  5. Step 5: Solve for x
    x = 47,191,411.13/7,877.72
  6. Step 6: Final answer
    x = 5,990.49

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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.