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Finding the Fourth Proportional to 13,715.58, 20,452.94 and 13,590.84

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Solution

The fourth proportional to 13,715.58, 20,452.94 and 13,590.84 is: 20,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.58 : 20,452.94 = 13,590.84 : x
  2. Step 2: Convert to fraction form
    13,715.58/20,452.94 = 13,590.84/x
  3. Step 3: Cross multiply
    13,715.58x = 20,452.94 × 13,590.84
  4. Step 4: Simplify right side
    13,715.58x = 277,972,567.12
  5. Step 5: Solve for x
    x = 277,972,567.12/13,715.58
  6. Step 6: Final answer
    x = 20,266.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.