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Finding the Fourth Proportional to 8,200.47, 11,315.63 and 4,614.99

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Solution

The fourth proportional to 8,200.47, 11,315.63 and 4,614.99 is: 6,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.47 : 11,315.63 = 4,614.99 : x
  2. Step 2: Convert to fraction form
    8,200.47/11,315.63 = 4,614.99/x
  3. Step 3: Cross multiply
    8,200.47x = 11,315.63 × 4,614.99
  4. Step 4: Simplify right side
    8,200.47x = 52,221,530.83
  5. Step 5: Solve for x
    x = 52,221,530.83/8,200.47
  6. Step 6: Final answer
    x = 6,368.11

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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.