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Finding the Fourth Proportional to 31,483.56, 47,227.80 and 12,754.74

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Solution

The fourth proportional to 31,483.56, 47,227.80 and 12,754.74 is: 19,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.56 : 47,227.80 = 12,754.74 : x
  2. Step 2: Convert to fraction form
    31,483.56/47,227.80 = 12,754.74/x
  3. Step 3: Cross multiply
    31,483.56x = 47,227.80 × 12,754.74
  4. Step 4: Simplify right side
    31,483.56x = 602,378,309.77
  5. Step 5: Solve for x
    x = 602,378,309.77/31,483.56
  6. Step 6: Final answer
    x = 19,133.11

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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.