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Finding the Fourth Proportional to 31,820.90, 47,730.90 and 10,756.46

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Solution

The fourth proportional to 31,820.90, 47,730.90 and 10,756.46 is: 16,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.90 : 47,730.90 = 10,756.46 : x
  2. Step 2: Convert to fraction form
    31,820.90/47,730.90 = 10,756.46/x
  3. Step 3: Cross multiply
    31,820.90x = 47,730.90 × 10,756.46
  4. Step 4: Simplify right side
    31,820.90x = 513,415,516.61
  5. Step 5: Solve for x
    x = 513,415,516.61/31,820.90
  6. Step 6: Final answer
    x = 16,134.54

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1.5x scale

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.