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Finding the Fourth Proportional to 43,385.50, 65,078.34 and 10,553.50

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Solution

The fourth proportional to 43,385.50, 65,078.34 and 10,553.50 is: 15,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,385.50 : 65,078.34 = 10,553.50 : x
  2. Step 2: Convert to fraction form
    43,385.50/65,078.34 = 10,553.50/x
  3. Step 3: Cross multiply
    43,385.50x = 65,078.34 × 10,553.50
  4. Step 4: Simplify right side
    43,385.50x = 686,804,261.19
  5. Step 5: Solve for x
    x = 686,804,261.19/43,385.50
  6. Step 6: Final answer
    x = 15,830.27

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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.