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Finding the Fourth Proportional to 1,359.97, 2,034 and 1,261.51

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Solution

The fourth proportional to 1,359.97, 2,034 and 1,261.51 is: 1,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.97 : 2,034 = 1,261.51 : x
  2. Step 2: Convert to fraction form
    1,359.97/2,034 = 1,261.51/x
  3. Step 3: Cross multiply
    1,359.97x = 2,034 × 1,261.51
  4. Step 4: Simplify right side
    1,359.97x = 2,565,911.34
  5. Step 5: Solve for x
    x = 2,565,911.34/1,359.97
  6. Step 6: Final answer
    x = 1,886.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.