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Finding the Fourth Proportional to 10,955.70, 16,433.55 and 6,800.40

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Solution

The fourth proportional to 10,955.70, 16,433.55 and 6,800.40 is: 10,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.70 : 16,433.55 = 6,800.40 : x
  2. Step 2: Convert to fraction form
    10,955.70/16,433.55 = 6,800.40/x
  3. Step 3: Cross multiply
    10,955.70x = 16,433.55 × 6,800.40
  4. Step 4: Simplify right side
    10,955.70x = 111,754,713.42
  5. Step 5: Solve for x
    x = 111,754,713.42/10,955.70
  6. Step 6: Final answer
    x = 10,200.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.