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Finding the Fourth Proportional to 12,437.40, 18,653.03 and 7,755

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Solution

The fourth proportional to 12,437.40, 18,653.03 and 7,755 is: 11,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.40 : 18,653.03 = 7,755 : x
  2. Step 2: Convert to fraction form
    12,437.40/18,653.03 = 7,755/x
  3. Step 3: Cross multiply
    12,437.40x = 18,653.03 × 7,755
  4. Step 4: Simplify right side
    12,437.40x = 144,654,247.65
  5. Step 5: Solve for x
    x = 144,654,247.65/12,437.40
  6. Step 6: Final answer
    x = 11,630.59

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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.