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Finding the Fourth Proportional to 1,642.64, 2,267.24 and 1,014.08

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Solution

The fourth proportional to 1,642.64, 2,267.24 and 1,014.08 is: 1,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.64 : 2,267.24 = 1,014.08 : x
  2. Step 2: Convert to fraction form
    1,642.64/2,267.24 = 1,014.08/x
  3. Step 3: Cross multiply
    1,642.64x = 2,267.24 × 1,014.08
  4. Step 4: Simplify right side
    1,642.64x = 2,299,162.74
  5. Step 5: Solve for x
    x = 2,299,162.74/1,642.64
  6. Step 6: Final answer
    x = 1,399.68

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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.