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Finding the Fourth Proportional to 3,538.90, 4,883.98 and 1,967.50

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Solution

The fourth proportional to 3,538.90, 4,883.98 and 1,967.50 is: 2,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.90 : 4,883.98 = 1,967.50 : x
  2. Step 2: Convert to fraction form
    3,538.90/4,883.98 = 1,967.50/x
  3. Step 3: Cross multiply
    3,538.90x = 4,883.98 × 1,967.50
  4. Step 4: Simplify right side
    3,538.90x = 9,609,230.65
  5. Step 5: Solve for x
    x = 9,609,230.65/3,538.90
  6. Step 6: Final answer
    x = 2,715.32

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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.