Home / 1,680.28-2,317.98-1,447

Finding the Fourth Proportional to 1,680.28, 2,317.98 and 1,447

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Solution

The fourth proportional to 1,680.28, 2,317.98 and 1,447 is: 1,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.28 : 2,317.98 = 1,447 : x
  2. Step 2: Convert to fraction form
    1,680.28/2,317.98 = 1,447/x
  3. Step 3: Cross multiply
    1,680.28x = 2,317.98 × 1,447
  4. Step 4: Simplify right side
    1,680.28x = 3,354,117.06
  5. Step 5: Solve for x
    x = 3,354,117.06/1,680.28
  6. Step 6: Final answer
    x = 1,996.17

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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.