Home / 31,378-47,072.80-10,319.20

Finding the Fourth Proportional to 31,378, 47,072.80 and 10,319.20

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Solution

The fourth proportional to 31,378, 47,072.80 and 10,319.20 is: 15,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378 : 47,072.80 = 10,319.20 : x
  2. Step 2: Convert to fraction form
    31,378/47,072.80 = 10,319.20/x
  3. Step 3: Cross multiply
    31,378x = 47,072.80 × 10,319.20
  4. Step 4: Simplify right side
    31,378x = 485,753,637.76
  5. Step 5: Solve for x
    x = 485,753,637.76/31,378
  6. Step 6: Final answer
    x = 15,480.71

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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.