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Finding the Fourth Proportional to 8,316, 12,477.24 and 3,122.28

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Solution

The fourth proportional to 8,316, 12,477.24 and 3,122.28 is: 4,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316 : 12,477.24 = 3,122.28 : x
  2. Step 2: Convert to fraction form
    8,316/12,477.24 = 3,122.28/x
  3. Step 3: Cross multiply
    8,316x = 12,477.24 × 3,122.28
  4. Step 4: Simplify right side
    8,316x = 38,957,436.91
  5. Step 5: Solve for x
    x = 38,957,436.91/8,316
  6. Step 6: Final answer
    x = 4,684.64

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Why These Related Problems?

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