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Finding the Fourth Proportional to 39,804.78, 59,708.79 and 13,509.75

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Solution

The fourth proportional to 39,804.78, 59,708.79 and 13,509.75 is: 20,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,804.78 : 59,708.79 = 13,509.75 : x
  2. Step 2: Convert to fraction form
    39,804.78/59,708.79 = 13,509.75/x
  3. Step 3: Cross multiply
    39,804.78x = 59,708.79 × 13,509.75
  4. Step 4: Simplify right side
    39,804.78x = 806,650,825.70
  5. Step 5: Solve for x
    x = 806,650,825.70/39,804.78
  6. Step 6: Final answer
    x = 20,265.17

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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.