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Finding the Fourth Proportional to 7,770.24, 11,658.24 and 3,612.48

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Solution

The fourth proportional to 7,770.24, 11,658.24 and 3,612.48 is: 5,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.24 : 11,658.24 = 3,612.48 : x
  2. Step 2: Convert to fraction form
    7,770.24/11,658.24 = 3,612.48/x
  3. Step 3: Cross multiply
    7,770.24x = 11,658.24 × 3,612.48
  4. Step 4: Simplify right side
    7,770.24x = 42,115,158.84
  5. Step 5: Solve for x
    x = 42,115,158.84/7,770.24
  6. Step 6: Final answer
    x = 5,420.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.