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Finding the Fourth Proportional to 5,490.47, 7,574.22 and 5,278.29

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Solution

The fourth proportional to 5,490.47, 7,574.22 and 5,278.29 is: 7,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.47 : 7,574.22 = 5,278.29 : x
  2. Step 2: Convert to fraction form
    5,490.47/7,574.22 = 5,278.29/x
  3. Step 3: Cross multiply
    5,490.47x = 7,574.22 × 5,278.29
  4. Step 4: Simplify right side
    5,490.47x = 39,978,929.68
  5. Step 5: Solve for x
    x = 39,978,929.68/5,490.47
  6. Step 6: Final answer
    x = 7,281.51

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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.