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Finding the Fourth Proportional to 43,860, 65,782.74 and 15,774.36

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Solution

The fourth proportional to 43,860, 65,782.74 and 15,774.36 is: 23,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,860 : 65,782.74 = 15,774.36 : x
  2. Step 2: Convert to fraction form
    43,860/65,782.74 = 15,774.36/x
  3. Step 3: Cross multiply
    43,860x = 65,782.74 × 15,774.36
  4. Step 4: Simplify right side
    43,860x = 1,037,680,622.55
  5. Step 5: Solve for x
    x = 1,037,680,622.55/43,860
  6. Step 6: Final answer
    x = 23,658.93

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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.