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Finding the Fourth Proportional to 32,690, 45,112.92 and 17,786

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Solution

The fourth proportional to 32,690, 45,112.92 and 17,786 is: 24,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,690 : 45,112.92 = 17,786 : x
  2. Step 2: Convert to fraction form
    32,690/45,112.92 = 17,786/x
  3. Step 3: Cross multiply
    32,690x = 45,112.92 × 17,786
  4. Step 4: Simplify right side
    32,690x = 802,378,395.12
  5. Step 5: Solve for x
    x = 802,378,395.12/32,690
  6. Step 6: Final answer
    x = 24,545.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.