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Finding the Fourth Proportional to 9,265.34, 13,905.78 and 8,681.48

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Solution

The fourth proportional to 9,265.34, 13,905.78 and 8,681.48 is: 13,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.34 : 13,905.78 = 8,681.48 : x
  2. Step 2: Convert to fraction form
    9,265.34/13,905.78 = 8,681.48/x
  3. Step 3: Cross multiply
    9,265.34x = 13,905.78 × 8,681.48
  4. Step 4: Simplify right side
    9,265.34x = 120,722,750.95
  5. Step 5: Solve for x
    x = 120,722,750.95/9,265.34
  6. Step 6: Final answer
    x = 13,029.50

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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.