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Finding the Fourth Proportional to 39,230.96, 58,824 and 12,928.64

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Solution

The fourth proportional to 39,230.96, 58,824 and 12,928.64 is: 19,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,230.96 : 58,824 = 12,928.64 : x
  2. Step 2: Convert to fraction form
    39,230.96/58,824 = 12,928.64/x
  3. Step 3: Cross multiply
    39,230.96x = 58,824 × 12,928.64
  4. Step 4: Simplify right side
    39,230.96x = 760,514,319.36
  5. Step 5: Solve for x
    x = 760,514,319.36/39,230.96
  6. Step 6: Final answer
    x = 19,385.56

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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.