Home / 1,972.84-2,959.48-1,140.28

Finding the Fourth Proportional to 1,972.84, 2,959.48 and 1,140.28

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Solution

The fourth proportional to 1,972.84, 2,959.48 and 1,140.28 is: 1,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.84 : 2,959.48 = 1,140.28 : x
  2. Step 2: Convert to fraction form
    1,972.84/2,959.48 = 1,140.28/x
  3. Step 3: Cross multiply
    1,972.84x = 2,959.48 × 1,140.28
  4. Step 4: Simplify right side
    1,972.84x = 3,374,635.85
  5. Step 5: Solve for x
    x = 3,374,635.85/1,972.84
  6. Step 6: Final answer
    x = 1,710.55

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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.