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Finding the Fourth Proportional to 2,073.84, 2,860.02 and 1,374

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Solution

The fourth proportional to 2,073.84, 2,860.02 and 1,374 is: 1,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.84 : 2,860.02 = 1,374 : x
  2. Step 2: Convert to fraction form
    2,073.84/2,860.02 = 1,374/x
  3. Step 3: Cross multiply
    2,073.84x = 2,860.02 × 1,374
  4. Step 4: Simplify right side
    2,073.84x = 3,929,667.48
  5. Step 5: Solve for x
    x = 3,929,667.48/2,073.84
  6. Step 6: Final answer
    x = 1,894.87

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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.