Home / 1,319.84-1,970.28-1,147.04

Finding the Fourth Proportional to 1,319.84, 1,970.28 and 1,147.04

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Solution

The fourth proportional to 1,319.84, 1,970.28 and 1,147.04 is: 1,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.84 : 1,970.28 = 1,147.04 : x
  2. Step 2: Convert to fraction form
    1,319.84/1,970.28 = 1,147.04/x
  3. Step 3: Cross multiply
    1,319.84x = 1,970.28 × 1,147.04
  4. Step 4: Simplify right side
    1,319.84x = 2,259,989.97
  5. Step 5: Solve for x
    x = 2,259,989.97/1,319.84
  6. Step 6: Final answer
    x = 1,712.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.