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Finding the Fourth Proportional to 9,138, 13,709.16 and 2,982

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Solution

The fourth proportional to 9,138, 13,709.16 and 2,982 is: 4,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138 : 13,709.16 = 2,982 : x
  2. Step 2: Convert to fraction form
    9,138/13,709.16 = 2,982/x
  3. Step 3: Cross multiply
    9,138x = 13,709.16 × 2,982
  4. Step 4: Simplify right side
    9,138x = 40,880,715.12
  5. Step 5: Solve for x
    x = 40,880,715.12/9,138
  6. Step 6: Final answer
    x = 4,473.70

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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.