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Finding the Fourth Proportional to 7,032.80, 10,539.88 and 3,738.80

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Solution

The fourth proportional to 7,032.80, 10,539.88 and 3,738.80 is: 5,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.80 : 10,539.88 = 3,738.80 : x
  2. Step 2: Convert to fraction form
    7,032.80/10,539.88 = 3,738.80/x
  3. Step 3: Cross multiply
    7,032.80x = 10,539.88 × 3,738.80
  4. Step 4: Simplify right side
    7,032.80x = 39,406,441.30
  5. Step 5: Solve for x
    x = 39,406,441.30/7,032.80
  6. Step 6: Final answer
    x = 5,603.24

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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.