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Finding the Fourth Proportional to 12,220.30, 16,864.32 and 6,914.08

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Solution

The fourth proportional to 12,220.30, 16,864.32 and 6,914.08 is: 9,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.30 : 16,864.32 = 6,914.08 : x
  2. Step 2: Convert to fraction form
    12,220.30/16,864.32 = 6,914.08/x
  3. Step 3: Cross multiply
    12,220.30x = 16,864.32 × 6,914.08
  4. Step 4: Simplify right side
    12,220.30x = 116,601,257.63
  5. Step 5: Solve for x
    x = 116,601,257.63/12,220.30
  6. Step 6: Final answer
    x = 9,541.60

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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.