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Finding the Fourth Proportional to 12,255.22, 16,916.05 and 7,219.10

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Solution

The fourth proportional to 12,255.22, 16,916.05 and 7,219.10 is: 9,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.22 : 16,916.05 = 7,219.10 : x
  2. Step 2: Convert to fraction form
    12,255.22/16,916.05 = 7,219.10/x
  3. Step 3: Cross multiply
    12,255.22x = 16,916.05 × 7,219.10
  4. Step 4: Simplify right side
    12,255.22x = 122,118,656.56
  5. Step 5: Solve for x
    x = 122,118,656.56/12,255.22
  6. Step 6: Final answer
    x = 9,964.62

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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.