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Finding the Fourth Proportional to 2,909.66, 4,016.18 and 1,731.51

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Solution

The fourth proportional to 2,909.66, 4,016.18 and 1,731.51 is: 2,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.66 : 4,016.18 = 1,731.51 : x
  2. Step 2: Convert to fraction form
    2,909.66/4,016.18 = 1,731.51/x
  3. Step 3: Cross multiply
    2,909.66x = 4,016.18 × 1,731.51
  4. Step 4: Simplify right side
    2,909.66x = 6,954,060.16
  5. Step 5: Solve for x
    x = 6,954,060.16/2,909.66
  6. Step 6: Final answer
    x = 2,389.99

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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.