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Finding the Fourth Proportional to 2,191.78, 3,287.58 and 631.72

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Solution

The fourth proportional to 2,191.78, 3,287.58 and 631.72 is: 947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.78 : 3,287.58 = 631.72 : x
  2. Step 2: Convert to fraction form
    2,191.78/3,287.58 = 631.72/x
  3. Step 3: Cross multiply
    2,191.78x = 3,287.58 × 631.72
  4. Step 4: Simplify right side
    2,191.78x = 2,076,830.04
  5. Step 5: Solve for x
    x = 2,076,830.04/2,191.78
  6. Step 6: Final answer
    x = 947.55

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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.