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Finding the Fourth Proportional to 30,287.96, 45,439.28 and 9,511.46

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Solution

The fourth proportional to 30,287.96, 45,439.28 and 9,511.46 is: 14,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.96 : 45,439.28 = 9,511.46 : x
  2. Step 2: Convert to fraction form
    30,287.96/45,439.28 = 9,511.46/x
  3. Step 3: Cross multiply
    30,287.96x = 45,439.28 × 9,511.46
  4. Step 4: Simplify right side
    30,287.96x = 432,193,894.15
  5. Step 5: Solve for x
    x = 432,193,894.15/30,287.96
  6. Step 6: Final answer
    x = 14,269.50

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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.