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Finding the Fourth Proportional to 9,077.60, 13,616.40 and 7,846.40

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Solution

The fourth proportional to 9,077.60, 13,616.40 and 7,846.40 is: 11,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.60 : 13,616.40 = 7,846.40 : x
  2. Step 2: Convert to fraction form
    9,077.60/13,616.40 = 7,846.40/x
  3. Step 3: Cross multiply
    9,077.60x = 13,616.40 × 7,846.40
  4. Step 4: Simplify right side
    9,077.60x = 106,839,720.96
  5. Step 5: Solve for x
    x = 106,839,720.96/9,077.60
  6. Step 6: Final answer
    x = 11,769.60

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1.5x scale

Why These Related Problems?

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