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Finding the Fourth Proportional to 7,871.43, 10,863.21 and 4,335.30

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Solution

The fourth proportional to 7,871.43, 10,863.21 and 4,335.30 is: 5,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.43 : 10,863.21 = 4,335.30 : x
  2. Step 2: Convert to fraction form
    7,871.43/10,863.21 = 4,335.30/x
  3. Step 3: Cross multiply
    7,871.43x = 10,863.21 × 4,335.30
  4. Step 4: Simplify right side
    7,871.43x = 47,095,274.31
  5. Step 5: Solve for x
    x = 47,095,274.31/7,871.43
  6. Step 6: Final answer
    x = 5,983.06

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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.