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Finding the Fourth Proportional to 7,871.65, 10,862.80 and 4,334.78

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Solution

The fourth proportional to 7,871.65, 10,862.80 and 4,334.78 is: 5,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.65 : 10,862.80 = 4,334.78 : x
  2. Step 2: Convert to fraction form
    7,871.65/10,862.80 = 4,334.78/x
  3. Step 3: Cross multiply
    7,871.65x = 10,862.80 × 4,334.78
  4. Step 4: Simplify right side
    7,871.65x = 47,087,848.18
  5. Step 5: Solve for x
    x = 47,087,848.18/7,871.65
  6. Step 6: Final answer
    x = 5,981.95

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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.