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Finding the Fourth Proportional to 5,287.32, 7,242.71 and 5,229

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Solution

The fourth proportional to 5,287.32, 7,242.71 and 5,229 is: 7,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.32 : 7,242.71 = 5,229 : x
  2. Step 2: Convert to fraction form
    5,287.32/7,242.71 = 5,229/x
  3. Step 3: Cross multiply
    5,287.32x = 7,242.71 × 5,229
  4. Step 4: Simplify right side
    5,287.32x = 37,872,104.45
  5. Step 5: Solve for x
    x = 37,872,104.45/5,287.32
  6. Step 6: Final answer
    x = 7,162.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.