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Finding the Fourth Proportional to 5,715.92, 7,890.28 and 4,836.26

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Solution

The fourth proportional to 5,715.92, 7,890.28 and 4,836.26 is: 6,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.92 : 7,890.28 = 4,836.26 : x
  2. Step 2: Convert to fraction form
    5,715.92/7,890.28 = 4,836.26/x
  3. Step 3: Cross multiply
    5,715.92x = 7,890.28 × 4,836.26
  4. Step 4: Simplify right side
    5,715.92x = 38,159,445.55
  5. Step 5: Solve for x
    x = 38,159,445.55/5,715.92
  6. Step 6: Final answer
    x = 6,675.99

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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.