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Finding the Fourth Proportional to 7,870.62, 11,806.00 and 4,581.61

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Solution

The fourth proportional to 7,870.62, 11,806.00 and 4,581.61 is: 6,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.62 : 11,806.00 = 4,581.61 : x
  2. Step 2: Convert to fraction form
    7,870.62/11,806.00 = 4,581.61/x
  3. Step 3: Cross multiply
    7,870.62x = 11,806.00 × 4,581.61
  4. Step 4: Simplify right side
    7,870.62x = 54,090,538.87
  5. Step 5: Solve for x
    x = 54,090,538.87/7,870.62
  6. Step 6: Final answer
    x = 6,872.46

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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.