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Finding the Fourth Proportional to 2,147.78, 2,962.20 and 1,484.48

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Solution

The fourth proportional to 2,147.78, 2,962.20 and 1,484.48 is: 2,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.78 : 2,962.20 = 1,484.48 : x
  2. Step 2: Convert to fraction form
    2,147.78/2,962.20 = 1,484.48/x
  3. Step 3: Cross multiply
    2,147.78x = 2,962.20 × 1,484.48
  4. Step 4: Simplify right side
    2,147.78x = 4,397,326.66
  5. Step 5: Solve for x
    x = 4,397,326.66/2,147.78
  6. Step 6: Final answer
    x = 2,047.38

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1.5x scale

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.