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Finding the Fourth Proportional to 5,569.76, 7,681.20 and 3,997.28

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Solution

The fourth proportional to 5,569.76, 7,681.20 and 3,997.28 is: 5,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.76 : 7,681.20 = 3,997.28 : x
  2. Step 2: Convert to fraction form
    5,569.76/7,681.20 = 3,997.28/x
  3. Step 3: Cross multiply
    5,569.76x = 7,681.20 × 3,997.28
  4. Step 4: Simplify right side
    5,569.76x = 30,703,907.14
  5. Step 5: Solve for x
    x = 30,703,907.14/5,569.76
  6. Step 6: Final answer
    x = 5,512.61

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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.