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Finding the Fourth Proportional to 4,167, 6,250.56 and 1,089

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Solution

The fourth proportional to 4,167, 6,250.56 and 1,089 is: 1,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167 : 6,250.56 = 1,089 : x
  2. Step 2: Convert to fraction form
    4,167/6,250.56 = 1,089/x
  3. Step 3: Cross multiply
    4,167x = 6,250.56 × 1,089
  4. Step 4: Simplify right side
    4,167x = 6,806,859.84
  5. Step 5: Solve for x
    x = 6,806,859.84/4,167
  6. Step 6: Final answer
    x = 1,633.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.