Home / 1,971.28-2,721.36-1,307.80

Finding the Fourth Proportional to 1,971.28, 2,721.36 and 1,307.80

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Solution

The fourth proportional to 1,971.28, 2,721.36 and 1,307.80 is: 1,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.28 : 2,721.36 = 1,307.80 : x
  2. Step 2: Convert to fraction form
    1,971.28/2,721.36 = 1,307.80/x
  3. Step 3: Cross multiply
    1,971.28x = 2,721.36 × 1,307.80
  4. Step 4: Simplify right side
    1,971.28x = 3,558,994.61
  5. Step 5: Solve for x
    x = 3,558,994.61/1,971.28
  6. Step 6: Final answer
    x = 1,805.42

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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.