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Finding the Fourth Proportional to 5,287.80, 7,294.72 and 3,716.80

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Solution

The fourth proportional to 5,287.80, 7,294.72 and 3,716.80 is: 5,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.80 : 7,294.72 = 3,716.80 : x
  2. Step 2: Convert to fraction form
    5,287.80/7,294.72 = 3,716.80/x
  3. Step 3: Cross multiply
    5,287.80x = 7,294.72 × 3,716.80
  4. Step 4: Simplify right side
    5,287.80x = 27,113,015.30
  5. Step 5: Solve for x
    x = 27,113,015.30/5,287.80
  6. Step 6: Final answer
    x = 5,127.47

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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.