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Finding the Fourth Proportional to 11,848.95, 16,353.65 and 6,812.78

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Solution

The fourth proportional to 11,848.95, 16,353.65 and 6,812.78 is: 9,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.95 : 16,353.65 = 6,812.78 : x
  2. Step 2: Convert to fraction form
    11,848.95/16,353.65 = 6,812.78/x
  3. Step 3: Cross multiply
    11,848.95x = 16,353.65 × 6,812.78
  4. Step 4: Simplify right side
    11,848.95x = 111,413,737.88
  5. Step 5: Solve for x
    x = 111,413,737.88/11,848.95
  6. Step 6: Final answer
    x = 9,402.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.