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Finding the Fourth Proportional to 32,687, 45,108.78 and 17,783

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Solution

The fourth proportional to 32,687, 45,108.78 and 17,783 is: 24,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,687 : 45,108.78 = 17,783 : x
  2. Step 2: Convert to fraction form
    32,687/45,108.78 = 17,783/x
  3. Step 3: Cross multiply
    32,687x = 45,108.78 × 17,783
  4. Step 4: Simplify right side
    32,687x = 802,169,434.74
  5. Step 5: Solve for x
    x = 802,169,434.74/32,687
  6. Step 6: Final answer
    x = 24,540.93

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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.