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Finding the Fourth Proportional to 7,609.74, 10,507.89 and 6,357.48

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Solution

The fourth proportional to 7,609.74, 10,507.89 and 6,357.48 is: 8,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.74 : 10,507.89 = 6,357.48 : x
  2. Step 2: Convert to fraction form
    7,609.74/10,507.89 = 6,357.48/x
  3. Step 3: Cross multiply
    7,609.74x = 10,507.89 × 6,357.48
  4. Step 4: Simplify right side
    7,609.74x = 66,803,700.52
  5. Step 5: Solve for x
    x = 66,803,700.52/7,609.74
  6. Step 6: Final answer
    x = 8,778.71

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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.