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Finding the Fourth Proportional to 11,752.85, 17,612.70 and 6,490.23

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Solution

The fourth proportional to 11,752.85, 17,612.70 and 6,490.23 is: 9,726.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.85 : 17,612.70 = 6,490.23 : x
  2. Step 2: Convert to fraction form
    11,752.85/17,612.70 = 6,490.23/x
  3. Step 3: Cross multiply
    11,752.85x = 17,612.70 × 6,490.23
  4. Step 4: Simplify right side
    11,752.85x = 114,310,473.92
  5. Step 5: Solve for x
    x = 114,310,473.92/11,752.85
  6. Step 6: Final answer
    x = 9,726.19

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