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Finding the Fourth Proportional to 5,302.13, 7,315.02 and 3,311.96

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Solution

The fourth proportional to 5,302.13, 7,315.02 and 3,311.96 is: 4,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.13 : 7,315.02 = 3,311.96 : x
  2. Step 2: Convert to fraction form
    5,302.13/7,315.02 = 3,311.96/x
  3. Step 3: Cross multiply
    5,302.13x = 7,315.02 × 3,311.96
  4. Step 4: Simplify right side
    5,302.13x = 24,227,017.06
  5. Step 5: Solve for x
    x = 24,227,017.06/5,302.13
  6. Step 6: Final answer
    x = 4,569.30

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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.