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Finding the Fourth Proportional to 30,468.16, 45,696.96 and 8,283.36

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Solution

The fourth proportional to 30,468.16, 45,696.96 and 8,283.36 is: 12,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.16 : 45,696.96 = 8,283.36 : x
  2. Step 2: Convert to fraction form
    30,468.16/45,696.96 = 8,283.36/x
  3. Step 3: Cross multiply
    30,468.16x = 45,696.96 × 8,283.36
  4. Step 4: Simplify right side
    30,468.16x = 378,524,370.59
  5. Step 5: Solve for x
    x = 378,524,370.59/30,468.16
  6. Step 6: Final answer
    x = 12,423.60

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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.