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Finding the Fourth Proportional to 3,387.46, 4,674.63 and 1,971.40

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Solution

The fourth proportional to 3,387.46, 4,674.63 and 1,971.40 is: 2,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.46 : 4,674.63 = 1,971.40 : x
  2. Step 2: Convert to fraction form
    3,387.46/4,674.63 = 1,971.40/x
  3. Step 3: Cross multiply
    3,387.46x = 4,674.63 × 1,971.40
  4. Step 4: Simplify right side
    3,387.46x = 9,215,565.58
  5. Step 5: Solve for x
    x = 9,215,565.58/3,387.46
  6. Step 6: Final answer
    x = 2,720.49

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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.