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Finding the Fourth Proportional to 10,368.90, 14,309.13 and 5,653.18

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Solution

The fourth proportional to 10,368.90, 14,309.13 and 5,653.18 is: 7,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.90 : 14,309.13 = 5,653.18 : x
  2. Step 2: Convert to fraction form
    10,368.90/14,309.13 = 5,653.18/x
  3. Step 3: Cross multiply
    10,368.90x = 14,309.13 × 5,653.18
  4. Step 4: Simplify right side
    10,368.90x = 80,892,087.53
  5. Step 5: Solve for x
    x = 80,892,087.53/10,368.90
  6. Step 6: Final answer
    x = 7,801.41

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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.