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Finding the Fourth Proportional to 30,531.54, 45,803.85 and 9,471.13

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Solution

The fourth proportional to 30,531.54, 45,803.85 and 9,471.13 is: 14,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.54 : 45,803.85 = 9,471.13 : x
  2. Step 2: Convert to fraction form
    30,531.54/45,803.85 = 9,471.13/x
  3. Step 3: Cross multiply
    30,531.54x = 45,803.85 × 9,471.13
  4. Step 4: Simplify right side
    30,531.54x = 433,814,067.82
  5. Step 5: Solve for x
    x = 433,814,067.82/30,531.54
  6. Step 6: Final answer
    x = 14,208.72

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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.