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Finding the Fourth Proportional to 10,403.78, 14,355.79 and 5,926.67

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Solution

The fourth proportional to 10,403.78, 14,355.79 and 5,926.67 is: 8,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.78 : 14,355.79 = 5,926.67 : x
  2. Step 2: Convert to fraction form
    10,403.78/14,355.79 = 5,926.67/x
  3. Step 3: Cross multiply
    10,403.78x = 14,355.79 × 5,926.67
  4. Step 4: Simplify right side
    10,403.78x = 85,081,943.32
  5. Step 5: Solve for x
    x = 85,081,943.32/10,403.78
  6. Step 6: Final answer
    x = 8,177.98

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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.