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Finding the Fourth Proportional to 12,267.50, 16,929.15 and 6,678.50

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Solution

The fourth proportional to 12,267.50, 16,929.15 and 6,678.50 is: 9,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.50 : 16,929.15 = 6,678.50 : x
  2. Step 2: Convert to fraction form
    12,267.50/16,929.15 = 6,678.50/x
  3. Step 3: Cross multiply
    12,267.50x = 16,929.15 × 6,678.50
  4. Step 4: Simplify right side
    12,267.50x = 113,061,328.28
  5. Step 5: Solve for x
    x = 113,061,328.28/12,267.50
  6. Step 6: Final answer
    x = 9,216.33

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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.