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Finding the Fourth Proportional to 1,552.84, 2,142.98 and 854.28

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Solution

The fourth proportional to 1,552.84, 2,142.98 and 854.28 is: 1,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.84 : 2,142.98 = 854.28 : x
  2. Step 2: Convert to fraction form
    1,552.84/2,142.98 = 854.28/x
  3. Step 3: Cross multiply
    1,552.84x = 2,142.98 × 854.28
  4. Step 4: Simplify right side
    1,552.84x = 1,830,704.95
  5. Step 5: Solve for x
    x = 1,830,704.95/1,552.84
  6. Step 6: Final answer
    x = 1,178.94

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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.