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Finding the Fourth Proportional to 8,213.40, 12,317.52 and 3,018

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Solution

The fourth proportional to 8,213.40, 12,317.52 and 3,018 is: 4,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.40 : 12,317.52 = 3,018 : x
  2. Step 2: Convert to fraction form
    8,213.40/12,317.52 = 3,018/x
  3. Step 3: Cross multiply
    8,213.40x = 12,317.52 × 3,018
  4. Step 4: Simplify right side
    8,213.40x = 37,174,275.36
  5. Step 5: Solve for x
    x = 37,174,275.36/8,213.40
  6. Step 6: Final answer
    x = 4,526.05

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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.