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Finding the Fourth Proportional to 1,374.16, 1,895.88 and 821.84

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Solution

The fourth proportional to 1,374.16, 1,895.88 and 821.84 is: 1,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.16 : 1,895.88 = 821.84 : x
  2. Step 2: Convert to fraction form
    1,374.16/1,895.88 = 821.84/x
  3. Step 3: Cross multiply
    1,374.16x = 1,895.88 × 821.84
  4. Step 4: Simplify right side
    1,374.16x = 1,558,110.02
  5. Step 5: Solve for x
    x = 1,558,110.02/1,374.16
  6. Step 6: Final answer
    x = 1,133.86

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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.