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Finding the Fourth Proportional to 1,642.58, 2,254 and 1,494.08

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Solution

The fourth proportional to 1,642.58, 2,254 and 1,494.08 is: 2,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.58 : 2,254 = 1,494.08 : x
  2. Step 2: Convert to fraction form
    1,642.58/2,254 = 1,494.08/x
  3. Step 3: Cross multiply
    1,642.58x = 2,254 × 1,494.08
  4. Step 4: Simplify right side
    1,642.58x = 3,367,656.32
  5. Step 5: Solve for x
    x = 3,367,656.32/1,642.58
  6. Step 6: Final answer
    x = 2,050.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.