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Finding the Fourth Proportional to 43,897, 65,846.22 and 12,735.40

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Solution

The fourth proportional to 43,897, 65,846.22 and 12,735.40 is: 19,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,897 : 65,846.22 = 12,735.40 : x
  2. Step 2: Convert to fraction form
    43,897/65,846.22 = 12,735.40/x
  3. Step 3: Cross multiply
    43,897x = 65,846.22 × 12,735.40
  4. Step 4: Simplify right side
    43,897x = 838,577,950.19
  5. Step 5: Solve for x
    x = 838,577,950.19/43,897
  6. Step 6: Final answer
    x = 19,103.31

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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.