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Finding the Fourth Proportional to 22,842.48, 31,518.96 and 13,885.20

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Solution

The fourth proportional to 22,842.48, 31,518.96 and 13,885.20 is: 19,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.48 : 31,518.96 = 13,885.20 : x
  2. Step 2: Convert to fraction form
    22,842.48/31,518.96 = 13,885.20/x
  3. Step 3: Cross multiply
    22,842.48x = 31,518.96 × 13,885.20
  4. Step 4: Simplify right side
    22,842.48x = 437,647,063.39
  5. Step 5: Solve for x
    x = 437,647,063.39/22,842.48
  6. Step 6: Final answer
    x = 19,159.35

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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.