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Finding the Fourth Proportional to 6,138.65, 9,209.30 and 1,978.90

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Solution

The fourth proportional to 6,138.65, 9,209.30 and 1,978.90 is: 2,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.65 : 9,209.30 = 1,978.90 : x
  2. Step 2: Convert to fraction form
    6,138.65/9,209.30 = 1,978.90/x
  3. Step 3: Cross multiply
    6,138.65x = 9,209.30 × 1,978.90
  4. Step 4: Simplify right side
    6,138.65x = 18,224,250.85
  5. Step 5: Solve for x
    x = 18,224,250.85/6,138.65
  6. Step 6: Final answer
    x = 2,968.77

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1.5x scale

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.