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Finding the Fourth Proportional to 7,771.16, 10,724.05 and 4,786.91

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Solution

The fourth proportional to 7,771.16, 10,724.05 and 4,786.91 is: 6,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.16 : 10,724.05 = 4,786.91 : x
  2. Step 2: Convert to fraction form
    7,771.16/10,724.05 = 4,786.91/x
  3. Step 3: Cross multiply
    7,771.16x = 10,724.05 × 4,786.91
  4. Step 4: Simplify right side
    7,771.16x = 51,335,088.16
  5. Step 5: Solve for x
    x = 51,335,088.16/7,771.16
  6. Step 6: Final answer
    x = 6,605.85

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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.