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Finding the Fourth Proportional to 9,889.65, 14,834.51 and 3,315.87

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Solution

The fourth proportional to 9,889.65, 14,834.51 and 3,315.87 is: 4,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.65 : 14,834.51 = 3,315.87 : x
  2. Step 2: Convert to fraction form
    9,889.65/14,834.51 = 3,315.87/x
  3. Step 3: Cross multiply
    9,889.65x = 14,834.51 × 3,315.87
  4. Step 4: Simplify right side
    9,889.65x = 49,189,290.09
  5. Step 5: Solve for x
    x = 49,189,290.09/9,889.65
  6. Step 6: Final answer
    x = 4,973.82

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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.