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Finding the Fourth Proportional to 43,878.63, 65,827.85 and 13,894.69

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Solution

The fourth proportional to 43,878.63, 65,827.85 and 13,894.69 is: 20,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,878.63 : 65,827.85 = 13,894.69 : x
  2. Step 2: Convert to fraction form
    43,878.63/65,827.85 = 13,894.69/x
  3. Step 3: Cross multiply
    43,878.63x = 65,827.85 × 13,894.69
  4. Step 4: Simplify right side
    43,878.63x = 914,657,569.12
  5. Step 5: Solve for x
    x = 914,657,569.12/43,878.63
  6. Step 6: Final answer
    x = 20,845.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.