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Finding the Fourth Proportional to 6,147.90, 9,223.20 and 1,987.20

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Solution

The fourth proportional to 6,147.90, 9,223.20 and 1,987.20 is: 2,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.90 : 9,223.20 = 1,987.20 : x
  2. Step 2: Convert to fraction form
    6,147.90/9,223.20 = 1,987.20/x
  3. Step 3: Cross multiply
    6,147.90x = 9,223.20 × 1,987.20
  4. Step 4: Simplify right side
    6,147.90x = 18,328,343.04
  5. Step 5: Solve for x
    x = 18,328,343.04/6,147.90
  6. Step 6: Final answer
    x = 2,981.24

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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.