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Finding the Fourth Proportional to 10,651.90, 14,699.68 and 6,178.31

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Solution

The fourth proportional to 10,651.90, 14,699.68 and 6,178.31 is: 8,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.90 : 14,699.68 = 6,178.31 : x
  2. Step 2: Convert to fraction form
    10,651.90/14,699.68 = 6,178.31/x
  3. Step 3: Cross multiply
    10,651.90x = 14,699.68 × 6,178.31
  4. Step 4: Simplify right side
    10,651.90x = 90,819,179.94
  5. Step 5: Solve for x
    x = 90,819,179.94/10,651.90
  6. Step 6: Final answer
    x = 8,526.10

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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.