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Finding the Fourth Proportional to 7,861.16, 11,737.18 and 7,073.84

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Solution

The fourth proportional to 7,861.16, 11,737.18 and 7,073.84 is: 10,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.16 : 11,737.18 = 7,073.84 : x
  2. Step 2: Convert to fraction form
    7,861.16/11,737.18 = 7,073.84/x
  3. Step 3: Cross multiply
    7,861.16x = 11,737.18 × 7,073.84
  4. Step 4: Simplify right side
    7,861.16x = 83,026,933.37
  5. Step 5: Solve for x
    x = 83,026,933.37/7,861.16
  6. Step 6: Final answer
    x = 10,561.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.