Home / 31,756.76-47,638.32-10,977.56

Finding the Fourth Proportional to 31,756.76, 47,638.32 and 10,977.56

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Solution

The fourth proportional to 31,756.76, 47,638.32 and 10,977.56 is: 16,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.76 : 47,638.32 = 10,977.56 : x
  2. Step 2: Convert to fraction form
    31,756.76/47,638.32 = 10,977.56/x
  3. Step 3: Cross multiply
    31,756.76x = 47,638.32 × 10,977.56
  4. Step 4: Simplify right side
    31,756.76x = 522,952,516.10
  5. Step 5: Solve for x
    x = 522,952,516.10/31,756.76
  6. Step 6: Final answer
    x = 16,467.44

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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.