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Finding the Fourth Proportional to 7,801.65, 10,771.19 and 5,410.73

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Solution

The fourth proportional to 7,801.65, 10,771.19 and 5,410.73 is: 7,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.65 : 10,771.19 = 5,410.73 : x
  2. Step 2: Convert to fraction form
    7,801.65/10,771.19 = 5,410.73/x
  3. Step 3: Cross multiply
    7,801.65x = 10,771.19 × 5,410.73
  4. Step 4: Simplify right side
    7,801.65x = 58,280,014.40
  5. Step 5: Solve for x
    x = 58,280,014.40/7,801.65
  6. Step 6: Final answer
    x = 7,470.21

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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.