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Finding the Fourth Proportional to 1,897.68, 2,832.58 and 1,758.70

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Solution

The fourth proportional to 1,897.68, 2,832.58 and 1,758.70 is: 2,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.68 : 2,832.58 = 1,758.70 : x
  2. Step 2: Convert to fraction form
    1,897.68/2,832.58 = 1,758.70/x
  3. Step 3: Cross multiply
    1,897.68x = 2,832.58 × 1,758.70
  4. Step 4: Simplify right side
    1,897.68x = 4,981,658.45
  5. Step 5: Solve for x
    x = 4,981,658.45/1,897.68
  6. Step 6: Final answer
    x = 2,625.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.