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Finding the Fourth Proportional to 2,752.06, 4,126.02 and 902.20

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Solution

The fourth proportional to 2,752.06, 4,126.02 and 902.20 is: 1,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.06 : 4,126.02 = 902.20 : x
  2. Step 2: Convert to fraction form
    2,752.06/4,126.02 = 902.20/x
  3. Step 3: Cross multiply
    2,752.06x = 4,126.02 × 902.20
  4. Step 4: Simplify right side
    2,752.06x = 3,722,495.24
  5. Step 5: Solve for x
    x = 3,722,495.24/2,752.06
  6. Step 6: Final answer
    x = 1,352.62

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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.