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Finding the Fourth Proportional to 7,870.77, 11,806.17 and 3,972.46

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Solution

The fourth proportional to 7,870.77, 11,806.17 and 3,972.46 is: 5,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.77 : 11,806.17 = 3,972.46 : x
  2. Step 2: Convert to fraction form
    7,870.77/11,806.17 = 3,972.46/x
  3. Step 3: Cross multiply
    7,870.77x = 11,806.17 × 3,972.46
  4. Step 4: Simplify right side
    7,870.77x = 46,899,538.08
  5. Step 5: Solve for x
    x = 46,899,538.08/7,870.77
  6. Step 6: Final answer
    x = 5,958.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.