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Finding the Fourth Proportional to 9,248.94, 13,848.78 and 7,227.49

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Solution

The fourth proportional to 9,248.94, 13,848.78 and 7,227.49 is: 10,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.94 : 13,848.78 = 7,227.49 : x
  2. Step 2: Convert to fraction form
    9,248.94/13,848.78 = 7,227.49/x
  3. Step 3: Cross multiply
    9,248.94x = 13,848.78 × 7,227.49
  4. Step 4: Simplify right side
    9,248.94x = 100,091,884.34
  5. Step 5: Solve for x
    x = 100,091,884.34/9,248.94
  6. Step 6: Final answer
    x = 10,821.98

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1.5x scale

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.