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Finding the Fourth Proportional to 9,015.66, 12,442.50 and 5,661

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Solution

The fourth proportional to 9,015.66, 12,442.50 and 5,661 is: 7,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.66 : 12,442.50 = 5,661 : x
  2. Step 2: Convert to fraction form
    9,015.66/12,442.50 = 5,661/x
  3. Step 3: Cross multiply
    9,015.66x = 12,442.50 × 5,661
  4. Step 4: Simplify right side
    9,015.66x = 70,436,992.50
  5. Step 5: Solve for x
    x = 70,436,992.50/9,015.66
  6. Step 6: Final answer
    x = 7,812.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.