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Finding the Fourth Proportional to 1,295.97, 1,787.13 and 1,110.09

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Solution

The fourth proportional to 1,295.97, 1,787.13 and 1,110.09 is: 1,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.97 : 1,787.13 = 1,110.09 : x
  2. Step 2: Convert to fraction form
    1,295.97/1,787.13 = 1,110.09/x
  3. Step 3: Cross multiply
    1,295.97x = 1,787.13 × 1,110.09
  4. Step 4: Simplify right side
    1,295.97x = 1,983,875.14
  5. Step 5: Solve for x
    x = 1,983,875.14/1,295.97
  6. Step 6: Final answer
    x = 1,530.80

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1.5x scale

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.