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Finding the Fourth Proportional to 5,120, 7,681.28 and 1,472

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Solution

The fourth proportional to 5,120, 7,681.28 and 1,472 is: 2,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120 : 7,681.28 = 1,472 : x
  2. Step 2: Convert to fraction form
    5,120/7,681.28 = 1,472/x
  3. Step 3: Cross multiply
    5,120x = 7,681.28 × 1,472
  4. Step 4: Simplify right side
    5,120x = 11,306,844.16
  5. Step 5: Solve for x
    x = 11,306,844.16/5,120
  6. Step 6: Final answer
    x = 2,208.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.