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Finding the Fourth Proportional to 11,603, 17,389.90 and 8,322.50

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Solution

The fourth proportional to 11,603, 17,389.90 and 8,322.50 is: 12,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603 : 17,389.90 = 8,322.50 : x
  2. Step 2: Convert to fraction form
    11,603/17,389.90 = 8,322.50/x
  3. Step 3: Cross multiply
    11,603x = 17,389.90 × 8,322.50
  4. Step 4: Simplify right side
    11,603x = 144,727,442.75
  5. Step 5: Solve for x
    x = 144,727,442.75/11,603
  6. Step 6: Final answer
    x = 12,473.28

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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.