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Finding the Fourth Proportional to 10,396.40, 14,347.03 and 5,616.34

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Solution

The fourth proportional to 10,396.40, 14,347.03 and 5,616.34 is: 7,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.40 : 14,347.03 = 5,616.34 : x
  2. Step 2: Convert to fraction form
    10,396.40/14,347.03 = 5,616.34/x
  3. Step 3: Cross multiply
    10,396.40x = 14,347.03 × 5,616.34
  4. Step 4: Simplify right side
    10,396.40x = 80,577,698.65
  5. Step 5: Solve for x
    x = 80,577,698.65/10,396.40
  6. Step 6: Final answer
    x = 7,750.54

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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.