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Finding the Fourth Proportional to 9,123.77, 13,661.91 and 7,815.90

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Solution

The fourth proportional to 9,123.77, 13,661.91 and 7,815.90 is: 11,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.77 : 13,661.91 = 7,815.90 : x
  2. Step 2: Convert to fraction form
    9,123.77/13,661.91 = 7,815.90/x
  3. Step 3: Cross multiply
    9,123.77x = 13,661.91 × 7,815.90
  4. Step 4: Simplify right side
    9,123.77x = 106,780,122.37
  5. Step 5: Solve for x
    x = 106,780,122.37/9,123.77
  6. Step 6: Final answer
    x = 11,703.52

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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.