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Finding the Fourth Proportional to 7,442.57, 10,272.08 and 5,563.57

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Solution

The fourth proportional to 7,442.57, 10,272.08 and 5,563.57 is: 7,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.57 : 10,272.08 = 5,563.57 : x
  2. Step 2: Convert to fraction form
    7,442.57/10,272.08 = 5,563.57/x
  3. Step 3: Cross multiply
    7,442.57x = 10,272.08 × 5,563.57
  4. Step 4: Simplify right side
    7,442.57x = 57,149,436.13
  5. Step 5: Solve for x
    x = 57,149,436.13/7,442.57
  6. Step 6: Final answer
    x = 7,678.72

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1.5x scale

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.