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Finding the Fourth Proportional to 1,894.38, 2,842.14 and 970.59

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Solution

The fourth proportional to 1,894.38, 2,842.14 and 970.59 is: 1,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.38 : 2,842.14 = 970.59 : x
  2. Step 2: Convert to fraction form
    1,894.38/2,842.14 = 970.59/x
  3. Step 3: Cross multiply
    1,894.38x = 2,842.14 × 970.59
  4. Step 4: Simplify right side
    1,894.38x = 2,758,545.64
  5. Step 5: Solve for x
    x = 2,758,545.64/1,894.38
  6. Step 6: Final answer
    x = 1,456.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.