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Finding the Fourth Proportional to 7,760.75, 10,709.88 and 4,223.99

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Solution

The fourth proportional to 7,760.75, 10,709.88 and 4,223.99 is: 5,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.75 : 10,709.88 = 4,223.99 : x
  2. Step 2: Convert to fraction form
    7,760.75/10,709.88 = 4,223.99/x
  3. Step 3: Cross multiply
    7,760.75x = 10,709.88 × 4,223.99
  4. Step 4: Simplify right side
    7,760.75x = 45,238,426.02
  5. Step 5: Solve for x
    x = 45,238,426.02/7,760.75
  6. Step 6: Final answer
    x = 5,829.13

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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.