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Finding the Fourth Proportional to 8,317.50, 12,477.06 and 2,161.50

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Solution

The fourth proportional to 8,317.50, 12,477.06 and 2,161.50 is: 3,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.50 : 12,477.06 = 2,161.50 : x
  2. Step 2: Convert to fraction form
    8,317.50/12,477.06 = 2,161.50/x
  3. Step 3: Cross multiply
    8,317.50x = 12,477.06 × 2,161.50
  4. Step 4: Simplify right side
    8,317.50x = 26,969,165.19
  5. Step 5: Solve for x
    x = 26,969,165.19/8,317.50
  6. Step 6: Final answer
    x = 3,242.46

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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.