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Finding the Fourth Proportional to 1,648.62, 2,290.01 and 1,622.16

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Solution

The fourth proportional to 1,648.62, 2,290.01 and 1,622.16 is: 2,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.62 : 2,290.01 = 1,622.16 : x
  2. Step 2: Convert to fraction form
    1,648.62/2,290.01 = 1,622.16/x
  3. Step 3: Cross multiply
    1,648.62x = 2,290.01 × 1,622.16
  4. Step 4: Simplify right side
    1,648.62x = 3,714,754.51
  5. Step 5: Solve for x
    x = 3,714,754.51/1,648.62
  6. Step 6: Final answer
    x = 2,253.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.