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Finding the Fourth Proportional to 9,692, 13,374.96 and 5,276

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Solution

The fourth proportional to 9,692, 13,374.96 and 5,276 is: 7,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692 : 13,374.96 = 5,276 : x
  2. Step 2: Convert to fraction form
    9,692/13,374.96 = 5,276/x
  3. Step 3: Cross multiply
    9,692x = 13,374.96 × 5,276
  4. Step 4: Simplify right side
    9,692x = 70,566,288.96
  5. Step 5: Solve for x
    x = 70,566,288.96/9,692
  6. Step 6: Final answer
    x = 7,280.88

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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.