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Finding the Fourth Proportional to 7,757.40, 10,705.14 and 4,220.52

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Solution

The fourth proportional to 7,757.40, 10,705.14 and 4,220.52 is: 5,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.40 : 10,705.14 = 4,220.52 : x
  2. Step 2: Convert to fraction form
    7,757.40/10,705.14 = 4,220.52/x
  3. Step 3: Cross multiply
    7,757.40x = 10,705.14 × 4,220.52
  4. Step 4: Simplify right side
    7,757.40x = 45,181,257.47
  5. Step 5: Solve for x
    x = 45,181,257.47/7,757.40
  6. Step 6: Final answer
    x = 5,824.28

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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.