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Finding the Fourth Proportional to 22,657.96, 31,268.55 and 12,585.91

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Solution

The fourth proportional to 22,657.96, 31,268.55 and 12,585.91 is: 17,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.96 : 31,268.55 = 12,585.91 : x
  2. Step 2: Convert to fraction form
    22,657.96/31,268.55 = 12,585.91/x
  3. Step 3: Cross multiply
    22,657.96x = 31,268.55 × 12,585.91
  4. Step 4: Simplify right side
    22,657.96x = 393,543,093.20
  5. Step 5: Solve for x
    x = 393,543,093.20/22,657.96
  6. Step 6: Final answer
    x = 17,368.87

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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.