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Finding the Fourth Proportional to 7,805.72, 10,772.37 and 4,621.47

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Solution

The fourth proportional to 7,805.72, 10,772.37 and 4,621.47 is: 6,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.72 : 10,772.37 = 4,621.47 : x
  2. Step 2: Convert to fraction form
    7,805.72/10,772.37 = 4,621.47/x
  3. Step 3: Cross multiply
    7,805.72x = 10,772.37 × 4,621.47
  4. Step 4: Simplify right side
    7,805.72x = 49,784,184.78
  5. Step 5: Solve for x
    x = 49,784,184.78/7,805.72
  6. Step 6: Final answer
    x = 6,377.91

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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.