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Finding the Fourth Proportional to 43,913, 65,870.49 and 15,835.34

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Solution

The fourth proportional to 43,913, 65,870.49 and 15,835.34 is: 23,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,913 : 65,870.49 = 15,835.34 : x
  2. Step 2: Convert to fraction form
    43,913/65,870.49 = 15,835.34/x
  3. Step 3: Cross multiply
    43,913x = 65,870.49 × 15,835.34
  4. Step 4: Simplify right side
    43,913x = 1,043,081,605.12
  5. Step 5: Solve for x
    x = 1,043,081,605.12/43,913
  6. Step 6: Final answer
    x = 23,753.37

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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.