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Finding the Fourth Proportional to 4,089, 5,642.88 and 2,226

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Solution

The fourth proportional to 4,089, 5,642.88 and 2,226 is: 3,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089 : 5,642.88 = 2,226 : x
  2. Step 2: Convert to fraction form
    4,089/5,642.88 = 2,226/x
  3. Step 3: Cross multiply
    4,089x = 5,642.88 × 2,226
  4. Step 4: Simplify right side
    4,089x = 12,561,050.88
  5. Step 5: Solve for x
    x = 12,561,050.88/4,089
  6. Step 6: Final answer
    x = 3,071.91

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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.