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Finding the Fourth Proportional to 1,707, 2,353.92 and 1,607.80

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Solution

The fourth proportional to 1,707, 2,353.92 and 1,607.80 is: 2,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707 : 2,353.92 = 1,607.80 : x
  2. Step 2: Convert to fraction form
    1,707/2,353.92 = 1,607.80/x
  3. Step 3: Cross multiply
    1,707x = 2,353.92 × 1,607.80
  4. Step 4: Simplify right side
    1,707x = 3,784,632.58
  5. Step 5: Solve for x
    x = 3,784,632.58/1,707
  6. Step 6: Final answer
    x = 2,217.13

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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.