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Finding the Fourth Proportional to 2,632.76, 3,631.02 and 1,971.20

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Solution

The fourth proportional to 2,632.76, 3,631.02 and 1,971.20 is: 2,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.76 : 3,631.02 = 1,971.20 : x
  2. Step 2: Convert to fraction form
    2,632.76/3,631.02 = 1,971.20/x
  3. Step 3: Cross multiply
    2,632.76x = 3,631.02 × 1,971.20
  4. Step 4: Simplify right side
    2,632.76x = 7,157,466.62
  5. Step 5: Solve for x
    x = 7,157,466.62/2,632.76
  6. Step 6: Final answer
    x = 2,718.62

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Half scale
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Double scale
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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.