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Finding the Fourth Proportional to 11,142, 16,703.69 and 4,572.90

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Solution

The fourth proportional to 11,142, 16,703.69 and 4,572.90 is: 6,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142 : 16,703.69 = 4,572.90 : x
  2. Step 2: Convert to fraction form
    11,142/16,703.69 = 4,572.90/x
  3. Step 3: Cross multiply
    11,142x = 16,703.69 × 4,572.90
  4. Step 4: Simplify right side
    11,142x = 76,384,281.14
  5. Step 5: Solve for x
    x = 76,384,281.14/11,142
  6. Step 6: Final answer
    x = 6,855.53

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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.