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Finding the Fourth Proportional to 9,223.88, 13,898.66 and 8,216.87

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Solution

The fourth proportional to 9,223.88, 13,898.66 and 8,216.87 is: 12,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.88 : 13,898.66 = 8,216.87 : x
  2. Step 2: Convert to fraction form
    9,223.88/13,898.66 = 8,216.87/x
  3. Step 3: Cross multiply
    9,223.88x = 13,898.66 × 8,216.87
  4. Step 4: Simplify right side
    9,223.88x = 114,203,480.24
  5. Step 5: Solve for x
    x = 114,203,480.24/9,223.88
  6. Step 6: Final answer
    x = 12,381.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.