Home / 2,972.51-4,101.88-1,646.13

Finding the Fourth Proportional to 2,972.51, 4,101.88 and 1,646.13

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Solution

The fourth proportional to 2,972.51, 4,101.88 and 1,646.13 is: 2,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.51 : 4,101.88 = 1,646.13 : x
  2. Step 2: Convert to fraction form
    2,972.51/4,101.88 = 1,646.13/x
  3. Step 3: Cross multiply
    2,972.51x = 4,101.88 × 1,646.13
  4. Step 4: Simplify right side
    2,972.51x = 6,752,223.61
  5. Step 5: Solve for x
    x = 6,752,223.61/2,972.51
  6. Step 6: Final answer
    x = 2,271.56

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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.