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Finding the Fourth Proportional to 31,761.98, 47,931.20 and 30,703.24

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Solution

The fourth proportional to 31,761.98, 47,931.20 and 30,703.24 is: 46,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.98 : 47,931.20 = 30,703.24 : x
  2. Step 2: Convert to fraction form
    31,761.98/47,931.20 = 30,703.24/x
  3. Step 3: Cross multiply
    31,761.98x = 47,931.20 × 30,703.24
  4. Step 4: Simplify right side
    31,761.98x = 1,471,643,137.09
  5. Step 5: Solve for x
    x = 1,471,643,137.09/31,761.98
  6. Step 6: Final answer
    x = 46,333.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.