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Finding the Fourth Proportional to 3,463.90, 4,780.38 and 1,971.82

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Solution

The fourth proportional to 3,463.90, 4,780.38 and 1,971.82 is: 2,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.90 : 4,780.38 = 1,971.82 : x
  2. Step 2: Convert to fraction form
    3,463.90/4,780.38 = 1,971.82/x
  3. Step 3: Cross multiply
    3,463.90x = 4,780.38 × 1,971.82
  4. Step 4: Simplify right side
    3,463.90x = 9,426,048.89
  5. Step 5: Solve for x
    x = 9,426,048.89/3,463.90
  6. Step 6: Final answer
    x = 2,721.22

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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.