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Finding the Fourth Proportional to 9,471.12, 13,078.40 and 5,940.40

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Solution

The fourth proportional to 9,471.12, 13,078.40 and 5,940.40 is: 8,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.12 : 13,078.40 = 5,940.40 : x
  2. Step 2: Convert to fraction form
    9,471.12/13,078.40 = 5,940.40/x
  3. Step 3: Cross multiply
    9,471.12x = 13,078.40 × 5,940.40
  4. Step 4: Simplify right side
    9,471.12x = 77,690,927.36
  5. Step 5: Solve for x
    x = 77,690,927.36/9,471.12
  6. Step 6: Final answer
    x = 8,202.93

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1.5x scale

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.