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Finding the Fourth Proportional to 7,809.74, 11,722.71 and 5,230.70

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Solution

The fourth proportional to 7,809.74, 11,722.71 and 5,230.70 is: 7,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.74 : 11,722.71 = 5,230.70 : x
  2. Step 2: Convert to fraction form
    7,809.74/11,722.71 = 5,230.70/x
  3. Step 3: Cross multiply
    7,809.74x = 11,722.71 × 5,230.70
  4. Step 4: Simplify right side
    7,809.74x = 61,317,979.20
  5. Step 5: Solve for x
    x = 61,317,979.20/7,809.74
  6. Step 6: Final answer
    x = 7,851.48

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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.