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Finding the Fourth Proportional to 8,984.39, 13,478.00 and 3,140.64

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Solution

The fourth proportional to 8,984.39, 13,478.00 and 3,140.64 is: 4,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.39 : 13,478.00 = 3,140.64 : x
  2. Step 2: Convert to fraction form
    8,984.39/13,478.00 = 3,140.64/x
  3. Step 3: Cross multiply
    8,984.39x = 13,478.00 × 3,140.64
  4. Step 4: Simplify right side
    8,984.39x = 42,329,530.22
  5. Step 5: Solve for x
    x = 42,329,530.22/8,984.39
  6. Step 6: Final answer
    x = 4,711.46

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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.