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Finding the Fourth Proportional to 7,871.64, 10,862.43 and 4,334.16

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Solution

The fourth proportional to 7,871.64, 10,862.43 and 4,334.16 is: 5,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.64 : 10,862.43 = 4,334.16 : x
  2. Step 2: Convert to fraction form
    7,871.64/10,862.43 = 4,334.16/x
  3. Step 3: Cross multiply
    7,871.64x = 10,862.43 × 4,334.16
  4. Step 4: Simplify right side
    7,871.64x = 47,079,509.61
  5. Step 5: Solve for x
    x = 47,079,509.61/7,871.64
  6. Step 6: Final answer
    x = 5,980.90

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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.