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Finding the Fourth Proportional to 10,206, 15,308.88 and 5,285.28

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Solution

The fourth proportional to 10,206, 15,308.88 and 5,285.28 is: 7,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,308.88 = 5,285.28 : x
  2. Step 2: Convert to fraction form
    10,206/15,308.88 = 5,285.28/x
  3. Step 3: Cross multiply
    10,206x = 15,308.88 × 5,285.28
  4. Step 4: Simplify right side
    10,206x = 80,911,717.29
  5. Step 5: Solve for x
    x = 80,911,717.29/10,206
  6. Step 6: Final answer
    x = 7,927.86

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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.