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Finding the Fourth Proportional to 30,285.88, 45,433.14 and 9,511

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Solution

The fourth proportional to 30,285.88, 45,433.14 and 9,511 is: 14,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.88 : 45,433.14 = 9,511 : x
  2. Step 2: Convert to fraction form
    30,285.88/45,433.14 = 9,511/x
  3. Step 3: Cross multiply
    30,285.88x = 45,433.14 × 9,511
  4. Step 4: Simplify right side
    30,285.88x = 432,114,594.54
  5. Step 5: Solve for x
    x = 432,114,594.54/30,285.88
  6. Step 6: Final answer
    x = 14,267.86

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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.