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Finding the Fourth Proportional to 31,533.03, 47,300.49 and 8,159.54

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Solution

The fourth proportional to 31,533.03, 47,300.49 and 8,159.54 is: 12,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.03 : 47,300.49 = 8,159.54 : x
  2. Step 2: Convert to fraction form
    31,533.03/47,300.49 = 8,159.54/x
  3. Step 3: Cross multiply
    31,533.03x = 47,300.49 × 8,159.54
  4. Step 4: Simplify right side
    31,533.03x = 385,950,003.67
  5. Step 5: Solve for x
    x = 385,950,003.67/31,533.03
  6. Step 6: Final answer
    x = 12,239.55

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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.