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Finding the Fourth Proportional to 7,777.26, 10,732.84 and 4,420.26

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Solution

The fourth proportional to 7,777.26, 10,732.84 and 4,420.26 is: 6,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.26 : 10,732.84 = 4,420.26 : x
  2. Step 2: Convert to fraction form
    7,777.26/10,732.84 = 4,420.26/x
  3. Step 3: Cross multiply
    7,777.26x = 10,732.84 × 4,420.26
  4. Step 4: Simplify right side
    7,777.26x = 47,441,943.34
  5. Step 5: Solve for x
    x = 47,441,943.34/7,777.26
  6. Step 6: Final answer
    x = 6,100.08

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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.