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Finding the Fourth Proportional to 10,000.81, 15,004 and 4,377.48

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Solution

The fourth proportional to 10,000.81, 15,004 and 4,377.48 is: 6,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.81 : 15,004 = 4,377.48 : x
  2. Step 2: Convert to fraction form
    10,000.81/15,004 = 4,377.48/x
  3. Step 3: Cross multiply
    10,000.81x = 15,004 × 4,377.48
  4. Step 4: Simplify right side
    10,000.81x = 65,679,709.92
  5. Step 5: Solve for x
    x = 65,679,709.92/10,000.81
  6. Step 6: Final answer
    x = 6,567.44

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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.