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Finding the Fourth Proportional to 13,000.40, 17,943.36 and 8,217.32

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Solution

The fourth proportional to 13,000.40, 17,943.36 and 8,217.32 is: 11,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.40 : 17,943.36 = 8,217.32 : x
  2. Step 2: Convert to fraction form
    13,000.40/17,943.36 = 8,217.32/x
  3. Step 3: Cross multiply
    13,000.40x = 17,943.36 × 8,217.32
  4. Step 4: Simplify right side
    13,000.40x = 147,446,331.00
  5. Step 5: Solve for x
    x = 147,446,331.00/13,000.40
  6. Step 6: Final answer
    x = 11,341.68

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1.5x scale

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.