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Finding the Fourth Proportional to 1,374.84, 1,897.74 and 851.04

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Solution

The fourth proportional to 1,374.84, 1,897.74 and 851.04 is: 1,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.84 : 1,897.74 = 851.04 : x
  2. Step 2: Convert to fraction form
    1,374.84/1,897.74 = 851.04/x
  3. Step 3: Cross multiply
    1,374.84x = 1,897.74 × 851.04
  4. Step 4: Simplify right side
    1,374.84x = 1,615,052.65
  5. Step 5: Solve for x
    x = 1,615,052.65/1,374.84
  6. Step 6: Final answer
    x = 1,174.72

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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.