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Finding the Fourth Proportional to 9,276, 12,800.88 and 5,550

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Solution

The fourth proportional to 9,276, 12,800.88 and 5,550 is: 7,659

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276 : 12,800.88 = 5,550 : x
  2. Step 2: Convert to fraction form
    9,276/12,800.88 = 5,550/x
  3. Step 3: Cross multiply
    9,276x = 12,800.88 × 5,550
  4. Step 4: Simplify right side
    9,276x = 71,044,884
  5. Step 5: Solve for x
    x = 71,044,884/9,276
  6. Step 6: Final answer
    x = 7,659

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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.