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Finding the Fourth Proportional to 9,137.70, 13,695.46 and 3,870.68

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Solution

The fourth proportional to 9,137.70, 13,695.46 and 3,870.68 is: 5,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.70 : 13,695.46 = 3,870.68 : x
  2. Step 2: Convert to fraction form
    9,137.70/13,695.46 = 3,870.68/x
  3. Step 3: Cross multiply
    9,137.70x = 13,695.46 × 3,870.68
  4. Step 4: Simplify right side
    9,137.70x = 53,010,743.11
  5. Step 5: Solve for x
    x = 53,010,743.11/9,137.70
  6. Step 6: Final answer
    x = 5,801.32

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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.