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Finding the Fourth Proportional to 29,688, 40,969.71 and 20,256.36

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Solution

The fourth proportional to 29,688, 40,969.71 and 20,256.36 is: 27,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688 : 40,969.71 = 20,256.36 : x
  2. Step 2: Convert to fraction form
    29,688/40,969.71 = 20,256.36/x
  3. Step 3: Cross multiply
    29,688x = 40,969.71 × 20,256.36
  4. Step 4: Simplify right side
    29,688x = 829,897,194.86
  5. Step 5: Solve for x
    x = 829,897,194.86/29,688
  6. Step 6: Final answer
    x = 27,953.96

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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.