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Finding the Fourth Proportional to 1,712.97, 2,364 and 1,292.58

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Solution

The fourth proportional to 1,712.97, 2,364 and 1,292.58 is: 1,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.97 : 2,364 = 1,292.58 : x
  2. Step 2: Convert to fraction form
    1,712.97/2,364 = 1,292.58/x
  3. Step 3: Cross multiply
    1,712.97x = 2,364 × 1,292.58
  4. Step 4: Simplify right side
    1,712.97x = 3,055,659.12
  5. Step 5: Solve for x
    x = 3,055,659.12/1,712.97
  6. Step 6: Final answer
    x = 1,783.84

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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.