Home / 31,529-47,288.64-10,478.18

Finding the Fourth Proportional to 31,529, 47,288.64 and 10,478.18

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Solution

The fourth proportional to 31,529, 47,288.64 and 10,478.18 is: 15,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,529 : 47,288.64 = 10,478.18 : x
  2. Step 2: Convert to fraction form
    31,529/47,288.64 = 10,478.18/x
  3. Step 3: Cross multiply
    31,529x = 47,288.64 × 10,478.18
  4. Step 4: Simplify right side
    31,529x = 495,498,881.88
  5. Step 5: Solve for x
    x = 495,498,881.88/31,529
  6. Step 6: Final answer
    x = 15,715.65

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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.