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Finding the Fourth Proportional to 2,047.20, 2,822.28 and 1,731.20

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Solution

The fourth proportional to 2,047.20, 2,822.28 and 1,731.20 is: 2,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.20 : 2,822.28 = 1,731.20 : x
  2. Step 2: Convert to fraction form
    2,047.20/2,822.28 = 1,731.20/x
  3. Step 3: Cross multiply
    2,047.20x = 2,822.28 × 1,731.20
  4. Step 4: Simplify right side
    2,047.20x = 4,885,922.12
  5. Step 5: Solve for x
    x = 4,885,922.12/2,047.20
  6. Step 6: Final answer
    x = 2,386.63

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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.