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Finding the Fourth Proportional to 7,709.55, 11,575.25 and 7,357.20

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Solution

The fourth proportional to 7,709.55, 11,575.25 and 7,357.20 is: 11,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.55 : 11,575.25 = 7,357.20 : x
  2. Step 2: Convert to fraction form
    7,709.55/11,575.25 = 7,357.20/x
  3. Step 3: Cross multiply
    7,709.55x = 11,575.25 × 7,357.20
  4. Step 4: Simplify right side
    7,709.55x = 85,161,392.51
  5. Step 5: Solve for x
    x = 85,161,392.51/7,709.55
  6. Step 6: Final answer
    x = 11,046.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.