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Finding the Fourth Proportional to 7,870.80, 10,861.84 and 4,333.76

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Solution

The fourth proportional to 7,870.80, 10,861.84 and 4,333.76 is: 5,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.80 : 10,861.84 = 4,333.76 : x
  2. Step 2: Convert to fraction form
    7,870.80/10,861.84 = 4,333.76/x
  3. Step 3: Cross multiply
    7,870.80x = 10,861.84 × 4,333.76
  4. Step 4: Simplify right side
    7,870.80x = 47,072,607.72
  5. Step 5: Solve for x
    x = 47,072,607.72/7,870.80
  6. Step 6: Final answer
    x = 5,980.66

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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.