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Finding the Fourth Proportional to 12,230.50, 16,878.09 and 6,641.50

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Solution

The fourth proportional to 12,230.50, 16,878.09 and 6,641.50 is: 9,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.50 : 16,878.09 = 6,641.50 : x
  2. Step 2: Convert to fraction form
    12,230.50/16,878.09 = 6,641.50/x
  3. Step 3: Cross multiply
    12,230.50x = 16,878.09 × 6,641.50
  4. Step 4: Simplify right side
    12,230.50x = 112,095,834.74
  5. Step 5: Solve for x
    x = 112,095,834.74/12,230.50
  6. Step 6: Final answer
    x = 9,165.27

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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.