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Finding the Fourth Proportional to 9,280, 12,806.44 and 5,554

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Solution

The fourth proportional to 9,280, 12,806.44 and 5,554 is: 7,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280 : 12,806.44 = 5,554 : x
  2. Step 2: Convert to fraction form
    9,280/12,806.44 = 5,554/x
  3. Step 3: Cross multiply
    9,280x = 12,806.44 × 5,554
  4. Step 4: Simplify right side
    9,280x = 71,126,967.76
  5. Step 5: Solve for x
    x = 71,126,967.76/9,280
  6. Step 6: Final answer
    x = 7,664.54

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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.