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Finding the Fourth Proportional to 12,223.16, 16,865.16 and 6,916.82

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Solution

The fourth proportional to 12,223.16, 16,865.16 and 6,916.82 is: 9,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.16 : 16,865.16 = 6,916.82 : x
  2. Step 2: Convert to fraction form
    12,223.16/16,865.16 = 6,916.82/x
  3. Step 3: Cross multiply
    12,223.16x = 16,865.16 × 6,916.82
  4. Step 4: Simplify right side
    12,223.16x = 116,653,275.99
  5. Step 5: Solve for x
    x = 116,653,275.99/12,223.16
  6. Step 6: Final answer
    x = 9,543.63

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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.