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Finding the Fourth Proportional to 29,448.19, 40,638.78 and 16,019.74

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Solution

The fourth proportional to 29,448.19, 40,638.78 and 16,019.74 is: 22,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,448.19 : 40,638.78 = 16,019.74 : x
  2. Step 2: Convert to fraction form
    29,448.19/40,638.78 = 16,019.74/x
  3. Step 3: Cross multiply
    29,448.19x = 40,638.78 × 16,019.74
  4. Step 4: Simplify right side
    29,448.19x = 651,022,689.52
  5. Step 5: Solve for x
    x = 651,022,689.52/29,448.19
  6. Step 6: Final answer
    x = 22,107.39

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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.