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Finding the Fourth Proportional to 10,214, 15,320.88 and 5,293.28

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Solution

The fourth proportional to 10,214, 15,320.88 and 5,293.28 is: 7,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214 : 15,320.88 = 5,293.28 : x
  2. Step 2: Convert to fraction form
    10,214/15,320.88 = 5,293.28/x
  3. Step 3: Cross multiply
    10,214x = 15,320.88 × 5,293.28
  4. Step 4: Simplify right side
    10,214x = 81,097,707.69
  5. Step 5: Solve for x
    x = 81,097,707.69/10,214
  6. Step 6: Final answer
    x = 7,939.86

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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.