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Finding the Fourth Proportional to 10,312.40, 14,231.04 and 5,596.56

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Solution

The fourth proportional to 10,312.40, 14,231.04 and 5,596.56 is: 7,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.40 : 14,231.04 = 5,596.56 : x
  2. Step 2: Convert to fraction form
    10,312.40/14,231.04 = 5,596.56/x
  3. Step 3: Cross multiply
    10,312.40x = 14,231.04 × 5,596.56
  4. Step 4: Simplify right side
    10,312.40x = 79,644,869.22
  5. Step 5: Solve for x
    x = 79,644,869.22/10,312.40
  6. Step 6: Final answer
    x = 7,723.21

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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.