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Finding the Fourth Proportional to 9,815.80, 13,550.70 and 6,460.78

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Solution

The fourth proportional to 9,815.80, 13,550.70 and 6,460.78 is: 8,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.80 : 13,550.70 = 6,460.78 : x
  2. Step 2: Convert to fraction form
    9,815.80/13,550.70 = 6,460.78/x
  3. Step 3: Cross multiply
    9,815.80x = 13,550.70 × 6,460.78
  4. Step 4: Simplify right side
    9,815.80x = 87,548,091.55
  5. Step 5: Solve for x
    x = 87,548,091.55/9,815.80
  6. Step 6: Final answer
    x = 8,919.10

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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.