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Finding the Fourth Proportional to 7,871, 10,861.98 and 4,334.20

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Solution

The fourth proportional to 7,871, 10,861.98 and 4,334.20 is: 5,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871 : 10,861.98 = 4,334.20 : x
  2. Step 2: Convert to fraction form
    7,871/10,861.98 = 4,334.20/x
  3. Step 3: Cross multiply
    7,871x = 10,861.98 × 4,334.20
  4. Step 4: Simplify right side
    7,871x = 47,078,020.87
  5. Step 5: Solve for x
    x = 47,078,020.87/7,871
  6. Step 6: Final answer
    x = 5,981.20

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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.