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Finding the Fourth Proportional to 7,768.84, 11,631.28 and 7,156.48

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Solution

The fourth proportional to 7,768.84, 11,631.28 and 7,156.48 is: 10,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.84 : 11,631.28 = 7,156.48 : x
  2. Step 2: Convert to fraction form
    7,768.84/11,631.28 = 7,156.48/x
  3. Step 3: Cross multiply
    7,768.84x = 11,631.28 × 7,156.48
  4. Step 4: Simplify right side
    7,768.84x = 83,239,022.69
  5. Step 5: Solve for x
    x = 83,239,022.69/7,768.84
  6. Step 6: Final answer
    x = 10,714.47

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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.