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Finding the Fourth Proportional to 2,191.76, 3,287.53 and 631.77

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Solution

The fourth proportional to 2,191.76, 3,287.53 and 631.77 is: 947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.76 : 3,287.53 = 631.77 : x
  2. Step 2: Convert to fraction form
    2,191.76/3,287.53 = 631.77/x
  3. Step 3: Cross multiply
    2,191.76x = 3,287.53 × 631.77
  4. Step 4: Simplify right side
    2,191.76x = 2,076,962.83
  5. Step 5: Solve for x
    x = 2,076,962.83/2,191.76
  6. Step 6: Final answer
    x = 947.62

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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.