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Finding the Fourth Proportional to 12,255.66, 16,916.43 and 7,221.51

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Solution

The fourth proportional to 12,255.66, 16,916.43 and 7,221.51 is: 9,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.66 : 16,916.43 = 7,221.51 : x
  2. Step 2: Convert to fraction form
    12,255.66/16,916.43 = 7,221.51/x
  3. Step 3: Cross multiply
    12,255.66x = 16,916.43 × 7,221.51
  4. Step 4: Simplify right side
    12,255.66x = 122,162,168.41
  5. Step 5: Solve for x
    x = 122,162,168.41/12,255.66
  6. Step 6: Final answer
    x = 9,967.82

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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.