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Finding the Fourth Proportional to 10,368.81, 14,309.04 and 5,653.39

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Solution

The fourth proportional to 10,368.81, 14,309.04 and 5,653.39 is: 7,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.81 : 14,309.04 = 5,653.39 : x
  2. Step 2: Convert to fraction form
    10,368.81/14,309.04 = 5,653.39/x
  3. Step 3: Cross multiply
    10,368.81x = 14,309.04 × 5,653.39
  4. Step 4: Simplify right side
    10,368.81x = 80,894,583.65
  5. Step 5: Solve for x
    x = 80,894,583.65/10,368.81
  6. Step 6: Final answer
    x = 7,801.72

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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.