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Finding the Fourth Proportional to 7,739.40, 10,665.78 and 7,624.20

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Solution

The fourth proportional to 7,739.40, 10,665.78 and 7,624.20 is: 10,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.40 : 10,665.78 = 7,624.20 : x
  2. Step 2: Convert to fraction form
    7,739.40/10,665.78 = 7,624.20/x
  3. Step 3: Cross multiply
    7,739.40x = 10,665.78 × 7,624.20
  4. Step 4: Simplify right side
    7,739.40x = 81,318,039.88
  5. Step 5: Solve for x
    x = 81,318,039.88/7,739.40
  6. Step 6: Final answer
    x = 10,507.02

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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.