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Finding the Fourth Proportional to 7,775.64, 10,737.09 and 6,667.56

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Solution

The fourth proportional to 7,775.64, 10,737.09 and 6,667.56 is: 9,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.64 : 10,737.09 = 6,667.56 : x
  2. Step 2: Convert to fraction form
    7,775.64/10,737.09 = 6,667.56/x
  3. Step 3: Cross multiply
    7,775.64x = 10,737.09 × 6,667.56
  4. Step 4: Simplify right side
    7,775.64x = 71,590,191.80
  5. Step 5: Solve for x
    x = 71,590,191.80/7,775.64
  6. Step 6: Final answer
    x = 9,206.98

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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.