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Finding the Fourth Proportional to 22,606.64, 31,189.70 and 13,650.74

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Solution

The fourth proportional to 22,606.64, 31,189.70 and 13,650.74 is: 18,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.64 : 31,189.70 = 13,650.74 : x
  2. Step 2: Convert to fraction form
    22,606.64/31,189.70 = 13,650.74/x
  3. Step 3: Cross multiply
    22,606.64x = 31,189.70 × 13,650.74
  4. Step 4: Simplify right side
    22,606.64x = 425,762,417.12
  5. Step 5: Solve for x
    x = 425,762,417.12/22,606.64
  6. Step 6: Final answer
    x = 18,833.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.