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Finding the Fourth Proportional to 5,306.88, 7,320.96 and 3,648

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Solution

The fourth proportional to 5,306.88, 7,320.96 and 3,648 is: 5,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.88 : 7,320.96 = 3,648 : x
  2. Step 2: Convert to fraction form
    5,306.88/7,320.96 = 3,648/x
  3. Step 3: Cross multiply
    5,306.88x = 7,320.96 × 3,648
  4. Step 4: Simplify right side
    5,306.88x = 26,706,862.08
  5. Step 5: Solve for x
    x = 26,706,862.08/5,306.88
  6. Step 6: Final answer
    x = 5,032.50

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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.