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Finding the Fourth Proportional to 7,870.87, 10,861.73 and 4,334

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Solution

The fourth proportional to 7,870.87, 10,861.73 and 4,334 is: 5,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.87 : 10,861.73 = 4,334 : x
  2. Step 2: Convert to fraction form
    7,870.87/10,861.73 = 4,334/x
  3. Step 3: Cross multiply
    7,870.87x = 10,861.73 × 4,334
  4. Step 4: Simplify right side
    7,870.87x = 47,074,716.15
  5. Step 5: Solve for x
    x = 47,074,716.15/7,870.87
  6. Step 6: Final answer
    x = 5,980.88

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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.