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Finding the Fourth Proportional to 10,369.78, 14,310.68 and 5,894.30

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Solution

The fourth proportional to 10,369.78, 14,310.68 and 5,894.30 is: 8,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.78 : 14,310.68 = 5,894.30 : x
  2. Step 2: Convert to fraction form
    10,369.78/14,310.68 = 5,894.30/x
  3. Step 3: Cross multiply
    10,369.78x = 14,310.68 × 5,894.30
  4. Step 4: Simplify right side
    10,369.78x = 84,351,441.12
  5. Step 5: Solve for x
    x = 84,351,441.12/10,369.78
  6. Step 6: Final answer
    x = 8,134.35

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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.