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Finding the Fourth Proportional to 2,720.76, 3,751.68 and 2,154.90

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Solution

The fourth proportional to 2,720.76, 3,751.68 and 2,154.90 is: 2,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.76 : 3,751.68 = 2,154.90 : x
  2. Step 2: Convert to fraction form
    2,720.76/3,751.68 = 2,154.90/x
  3. Step 3: Cross multiply
    2,720.76x = 3,751.68 × 2,154.90
  4. Step 4: Simplify right side
    2,720.76x = 8,084,495.23
  5. Step 5: Solve for x
    x = 8,084,495.23/2,720.76
  6. Step 6: Final answer
    x = 2,971.41

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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.