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Finding the Fourth Proportional to 39,804.36, 59,717.46 and 31,512

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Solution

The fourth proportional to 39,804.36, 59,717.46 and 31,512 is: 47,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,804.36 : 59,717.46 = 31,512 : x
  2. Step 2: Convert to fraction form
    39,804.36/59,717.46 = 31,512/x
  3. Step 3: Cross multiply
    39,804.36x = 59,717.46 × 31,512
  4. Step 4: Simplify right side
    39,804.36x = 1,881,816,599.52
  5. Step 5: Solve for x
    x = 1,881,816,599.52/39,804.36
  6. Step 6: Final answer
    x = 47,276.65

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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.