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Finding the Fourth Proportional to 7,871.34, 10,862.68 and 4,334.67

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Solution

The fourth proportional to 7,871.34, 10,862.68 and 4,334.67 is: 5,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.34 : 10,862.68 = 4,334.67 : x
  2. Step 2: Convert to fraction form
    7,871.34/10,862.68 = 4,334.67/x
  3. Step 3: Cross multiply
    7,871.34x = 10,862.68 × 4,334.67
  4. Step 4: Simplify right side
    7,871.34x = 47,086,133.12
  5. Step 5: Solve for x
    x = 47,086,133.12/7,871.34
  6. Step 6: Final answer
    x = 5,981.97

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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.