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Finding the Fourth Proportional to 7,665, 11,497.50 and 2,118.40

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Solution

The fourth proportional to 7,665, 11,497.50 and 2,118.40 is: 3,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665 : 11,497.50 = 2,118.40 : x
  2. Step 2: Convert to fraction form
    7,665/11,497.50 = 2,118.40/x
  3. Step 3: Cross multiply
    7,665x = 11,497.50 × 2,118.40
  4. Step 4: Simplify right side
    7,665x = 24,356,304
  5. Step 5: Solve for x
    x = 24,356,304/7,665
  6. Step 6: Final answer
    x = 3,177.60

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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.