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Finding the Fourth Proportional to 7,569, 10,445.22 and 4,257

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Solution

The fourth proportional to 7,569, 10,445.22 and 4,257 is: 5,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569 : 10,445.22 = 4,257 : x
  2. Step 2: Convert to fraction form
    7,569/10,445.22 = 4,257/x
  3. Step 3: Cross multiply
    7,569x = 10,445.22 × 4,257
  4. Step 4: Simplify right side
    7,569x = 44,465,301.54
  5. Step 5: Solve for x
    x = 44,465,301.54/7,569
  6. Step 6: Final answer
    x = 5,874.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.