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Finding the Fourth Proportional to 1,959.81, 2,705.15 and 1,261.19

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Solution

The fourth proportional to 1,959.81, 2,705.15 and 1,261.19 is: 1,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.81 : 2,705.15 = 1,261.19 : x
  2. Step 2: Convert to fraction form
    1,959.81/2,705.15 = 1,261.19/x
  3. Step 3: Cross multiply
    1,959.81x = 2,705.15 × 1,261.19
  4. Step 4: Simplify right side
    1,959.81x = 3,411,708.13
  5. Step 5: Solve for x
    x = 3,411,708.13/1,959.81
  6. Step 6: Final answer
    x = 1,740.84

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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.