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Finding the Fourth Proportional to 22,670.85, 31,280.94 and 13,716.57

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Solution

The fourth proportional to 22,670.85, 31,280.94 and 13,716.57 is: 18,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670.85 : 31,280.94 = 13,716.57 : x
  2. Step 2: Convert to fraction form
    22,670.85/31,280.94 = 13,716.57/x
  3. Step 3: Cross multiply
    22,670.85x = 31,280.94 × 13,716.57
  4. Step 4: Simplify right side
    22,670.85x = 429,067,203.18
  5. Step 5: Solve for x
    x = 429,067,203.18/22,670.85
  6. Step 6: Final answer
    x = 18,925.94

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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.