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Finding the Fourth Proportional to 5,384.61, 8,069.99 and 5,246.21

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Solution

The fourth proportional to 5,384.61, 8,069.99 and 5,246.21 is: 7,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.61 : 8,069.99 = 5,246.21 : x
  2. Step 2: Convert to fraction form
    5,384.61/8,069.99 = 5,246.21/x
  3. Step 3: Cross multiply
    5,384.61x = 8,069.99 × 5,246.21
  4. Step 4: Simplify right side
    5,384.61x = 42,336,862.24
  5. Step 5: Solve for x
    x = 42,336,862.24/5,384.61
  6. Step 6: Final answer
    x = 7,862.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.