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Finding the Fourth Proportional to 32,702, 45,117.13 and 21,378

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Solution

The fourth proportional to 32,702, 45,117.13 and 21,378 is: 29,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702 : 45,117.13 = 21,378 : x
  2. Step 2: Convert to fraction form
    32,702/45,117.13 = 21,378/x
  3. Step 3: Cross multiply
    32,702x = 45,117.13 × 21,378
  4. Step 4: Simplify right side
    32,702x = 964,514,005.14
  5. Step 5: Solve for x
    x = 964,514,005.14/32,702
  6. Step 6: Final answer
    x = 29,494.04

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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.