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Finding the Fourth Proportional to 9,277, 12,802.31 and 5,551

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Solution

The fourth proportional to 9,277, 12,802.31 and 5,551 is: 7,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277 : 12,802.31 = 5,551 : x
  2. Step 2: Convert to fraction form
    9,277/12,802.31 = 5,551/x
  3. Step 3: Cross multiply
    9,277x = 12,802.31 × 5,551
  4. Step 4: Simplify right side
    9,277x = 71,065,595.06
  5. Step 5: Solve for x
    x = 71,065,595.06/9,277
  6. Step 6: Final answer
    x = 7,660.41

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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.