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Finding the Fourth Proportional to 8,274, 11,417.97 and 4,688.94

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Solution

The fourth proportional to 8,274, 11,417.97 and 4,688.94 is: 6,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274 : 11,417.97 = 4,688.94 : x
  2. Step 2: Convert to fraction form
    8,274/11,417.97 = 4,688.94/x
  3. Step 3: Cross multiply
    8,274x = 11,417.97 × 4,688.94
  4. Step 4: Simplify right side
    8,274x = 53,538,176.25
  5. Step 5: Solve for x
    x = 53,538,176.25/8,274
  6. Step 6: Final answer
    x = 6,470.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.