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Finding the Fourth Proportional to 10,909.08, 16,354.08 and 3,888

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Solution

The fourth proportional to 10,909.08, 16,354.08 and 3,888 is: 5,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.08 : 16,354.08 = 3,888 : x
  2. Step 2: Convert to fraction form
    10,909.08/16,354.08 = 3,888/x
  3. Step 3: Cross multiply
    10,909.08x = 16,354.08 × 3,888
  4. Step 4: Simplify right side
    10,909.08x = 63,584,663.04
  5. Step 5: Solve for x
    x = 63,584,663.04/10,909.08
  6. Step 6: Final answer
    x = 5,828.60

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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.