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Finding the Fourth Proportional to 3,463.61, 4,780.17 and 1,971.75

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Solution

The fourth proportional to 3,463.61, 4,780.17 and 1,971.75 is: 2,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.61 : 4,780.17 = 1,971.75 : x
  2. Step 2: Convert to fraction form
    3,463.61/4,780.17 = 1,971.75/x
  3. Step 3: Cross multiply
    3,463.61x = 4,780.17 × 1,971.75
  4. Step 4: Simplify right side
    3,463.61x = 9,425,300.20
  5. Step 5: Solve for x
    x = 9,425,300.20/3,463.61
  6. Step 6: Final answer
    x = 2,721.24

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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.