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Finding the Fourth Proportional to 2,900.64, 4,003.92 and 1,721.71

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Solution

The fourth proportional to 2,900.64, 4,003.92 and 1,721.71 is: 2,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.64 : 4,003.92 = 1,721.71 : x
  2. Step 2: Convert to fraction form
    2,900.64/4,003.92 = 1,721.71/x
  3. Step 3: Cross multiply
    2,900.64x = 4,003.92 × 1,721.71
  4. Step 4: Simplify right side
    2,900.64x = 6,893,598.41
  5. Step 5: Solve for x
    x = 6,893,598.41/2,900.64
  6. Step 6: Final answer
    x = 2,376.58

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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.