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Finding the Fourth Proportional to 7,809.42, 10,775.22 and 4,665

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Solution

The fourth proportional to 7,809.42, 10,775.22 and 4,665 is: 6,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.42 : 10,775.22 = 4,665 : x
  2. Step 2: Convert to fraction form
    7,809.42/10,775.22 = 4,665/x
  3. Step 3: Cross multiply
    7,809.42x = 10,775.22 × 4,665
  4. Step 4: Simplify right side
    7,809.42x = 50,266,401.30
  5. Step 5: Solve for x
    x = 50,266,401.30/7,809.42
  6. Step 6: Final answer
    x = 6,436.64

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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.