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Finding the Fourth Proportional to 4,834.38, 7,252.50 and 1,547.22

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Solution

The fourth proportional to 4,834.38, 7,252.50 and 1,547.22 is: 2,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.38 : 7,252.50 = 1,547.22 : x
  2. Step 2: Convert to fraction form
    4,834.38/7,252.50 = 1,547.22/x
  3. Step 3: Cross multiply
    4,834.38x = 7,252.50 × 1,547.22
  4. Step 4: Simplify right side
    4,834.38x = 11,221,213.05
  5. Step 5: Solve for x
    x = 11,221,213.05/4,834.38
  6. Step 6: Final answer
    x = 2,321.13

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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.