Home / 2,972.10-4,101.72-1,646.22

Finding the Fourth Proportional to 2,972.10, 4,101.72 and 1,646.22

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Solution

The fourth proportional to 2,972.10, 4,101.72 and 1,646.22 is: 2,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.10 : 4,101.72 = 1,646.22 : x
  2. Step 2: Convert to fraction form
    2,972.10/4,101.72 = 1,646.22/x
  3. Step 3: Cross multiply
    2,972.10x = 4,101.72 × 1,646.22
  4. Step 4: Simplify right side
    2,972.10x = 6,752,333.50
  5. Step 5: Solve for x
    x = 6,752,333.50/2,972.10
  6. Step 6: Final answer
    x = 2,271.91

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1.5x scale

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.