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Finding the Fourth Proportional to 1,703.76, 2,350.80 and 1,677.84

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Solution

The fourth proportional to 1,703.76, 2,350.80 and 1,677.84 is: 2,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.76 : 2,350.80 = 1,677.84 : x
  2. Step 2: Convert to fraction form
    1,703.76/2,350.80 = 1,677.84/x
  3. Step 3: Cross multiply
    1,703.76x = 2,350.80 × 1,677.84
  4. Step 4: Simplify right side
    1,703.76x = 3,944,266.27
  5. Step 5: Solve for x
    x = 3,944,266.27/1,703.76
  6. Step 6: Final answer
    x = 2,315.04

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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.