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Finding the Fourth Proportional to 2,864.74, 3,956.48 and 1,970.86

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Solution

The fourth proportional to 2,864.74, 3,956.48 and 1,970.86 is: 2,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.74 : 3,956.48 = 1,970.86 : x
  2. Step 2: Convert to fraction form
    2,864.74/3,956.48 = 1,970.86/x
  3. Step 3: Cross multiply
    2,864.74x = 3,956.48 × 1,970.86
  4. Step 4: Simplify right side
    2,864.74x = 7,797,672.99
  5. Step 5: Solve for x
    x = 7,797,672.99/2,864.74
  6. Step 6: Final answer
    x = 2,721.95

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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.