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Finding the Fourth Proportional to 1,284.66, 1,918.08 and 1,052.97

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Solution

The fourth proportional to 1,284.66, 1,918.08 and 1,052.97 is: 1,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.66 : 1,918.08 = 1,052.97 : x
  2. Step 2: Convert to fraction form
    1,284.66/1,918.08 = 1,052.97/x
  3. Step 3: Cross multiply
    1,284.66x = 1,918.08 × 1,052.97
  4. Step 4: Simplify right side
    1,284.66x = 2,019,680.70
  5. Step 5: Solve for x
    x = 2,019,680.70/1,284.66
  6. Step 6: Final answer
    x = 1,572.15

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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.