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Finding the Fourth Proportional to 9,869.85, 14,806.85 and 2,849.85

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Solution

The fourth proportional to 9,869.85, 14,806.85 and 2,849.85 is: 4,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.85 : 14,806.85 = 2,849.85 : x
  2. Step 2: Convert to fraction form
    9,869.85/14,806.85 = 2,849.85/x
  3. Step 3: Cross multiply
    9,869.85x = 14,806.85 × 2,849.85
  4. Step 4: Simplify right side
    9,869.85x = 42,197,287.22
  5. Step 5: Solve for x
    x = 42,197,287.22/9,869.85
  6. Step 6: Final answer
    x = 4,275.37

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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.