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Finding the Fourth Proportional to 12,151.68, 16,769.10 and 6,846.40

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Solution

The fourth proportional to 12,151.68, 16,769.10 and 6,846.40 is: 9,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.68 : 16,769.10 = 6,846.40 : x
  2. Step 2: Convert to fraction form
    12,151.68/16,769.10 = 6,846.40/x
  3. Step 3: Cross multiply
    12,151.68x = 16,769.10 × 6,846.40
  4. Step 4: Simplify right side
    12,151.68x = 114,807,966.24
  5. Step 5: Solve for x
    x = 114,807,966.24/12,151.68
  6. Step 6: Final answer
    x = 9,447.91

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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.