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Finding the Fourth Proportional to 10,023.78, 13,835.82 and 6,487.23

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Solution

The fourth proportional to 10,023.78, 13,835.82 and 6,487.23 is: 8,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.78 : 13,835.82 = 6,487.23 : x
  2. Step 2: Convert to fraction form
    10,023.78/13,835.82 = 6,487.23/x
  3. Step 3: Cross multiply
    10,023.78x = 13,835.82 × 6,487.23
  4. Step 4: Simplify right side
    10,023.78x = 89,756,146.58
  5. Step 5: Solve for x
    x = 89,756,146.58/10,023.78
  6. Step 6: Final answer
    x = 8,954.32

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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.