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Finding the Fourth Proportional to 7,770.02, 11,654.81 and 2,223.24

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Solution

The fourth proportional to 7,770.02, 11,654.81 and 2,223.24 is: 3,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.02 : 11,654.81 = 2,223.24 : x
  2. Step 2: Convert to fraction form
    7,770.02/11,654.81 = 2,223.24/x
  3. Step 3: Cross multiply
    7,770.02x = 11,654.81 × 2,223.24
  4. Step 4: Simplify right side
    7,770.02x = 25,911,428.67
  5. Step 5: Solve for x
    x = 25,911,428.67/7,770.02
  6. Step 6: Final answer
    x = 3,334.80

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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.