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Finding the Fourth Proportional to 9,140.00, 13,715.45 and 8,396.42

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Solution

The fourth proportional to 9,140.00, 13,715.45 and 8,396.42 is: 12,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.00 : 13,715.45 = 8,396.42 : x
  2. Step 2: Convert to fraction form
    9,140.00/13,715.45 = 8,396.42/x
  3. Step 3: Cross multiply
    9,140.00x = 13,715.45 × 8,396.42
  4. Step 4: Simplify right side
    9,140.00x = 115,160,631.10
  5. Step 5: Solve for x
    x = 115,160,631.10/9,140.00
  6. Step 6: Final answer
    x = 12,599.64

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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.