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Finding the Fourth Proportional to 7,759.36, 10,700.84 and 5,774.88

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Solution

The fourth proportional to 7,759.36, 10,700.84 and 5,774.88 is: 7,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.36 : 10,700.84 = 5,774.88 : x
  2. Step 2: Convert to fraction form
    7,759.36/10,700.84 = 5,774.88/x
  3. Step 3: Cross multiply
    7,759.36x = 10,700.84 × 5,774.88
  4. Step 4: Simplify right side
    7,759.36x = 61,796,066.90
  5. Step 5: Solve for x
    x = 61,796,066.90/7,759.36
  6. Step 6: Final answer
    x = 7,964.07

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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.