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Finding the Fourth Proportional to 30,436.50, 45,654.77 and 9,660

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Solution

The fourth proportional to 30,436.50, 45,654.77 and 9,660 is: 14,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436.50 : 45,654.77 = 9,660 : x
  2. Step 2: Convert to fraction form
    30,436.50/45,654.77 = 9,660/x
  3. Step 3: Cross multiply
    30,436.50x = 45,654.77 × 9,660
  4. Step 4: Simplify right side
    30,436.50x = 441,025,029.90
  5. Step 5: Solve for x
    x = 441,025,029.90/30,436.50
  6. Step 6: Final answer
    x = 14,490.00

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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.