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Finding the Fourth Proportional to 10,381.65, 14,326.11 and 5,665.83

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Solution

The fourth proportional to 10,381.65, 14,326.11 and 5,665.83 is: 7,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.65 : 14,326.11 = 5,665.83 : x
  2. Step 2: Convert to fraction form
    10,381.65/14,326.11 = 5,665.83/x
  3. Step 3: Cross multiply
    10,381.65x = 14,326.11 × 5,665.83
  4. Step 4: Simplify right side
    10,381.65x = 81,169,303.82
  5. Step 5: Solve for x
    x = 81,169,303.82/10,381.65
  6. Step 6: Final answer
    x = 7,818.54

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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.