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Finding the Fourth Proportional to 22,575, 31,153 and 12,502.85

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Solution

The fourth proportional to 22,575, 31,153 and 12,502.85 is: 17,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575 : 31,153 = 12,502.85 : x
  2. Step 2: Convert to fraction form
    22,575/31,153 = 12,502.85/x
  3. Step 3: Cross multiply
    22,575x = 31,153 × 12,502.85
  4. Step 4: Simplify right side
    22,575x = 389,501,286.05
  5. Step 5: Solve for x
    x = 389,501,286.05/22,575
  6. Step 6: Final answer
    x = 17,253.66

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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.