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Finding the Fourth Proportional to 30,290.98, 45,443.65 and 9,514.48

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Solution

The fourth proportional to 30,290.98, 45,443.65 and 9,514.48 is: 14,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.98 : 45,443.65 = 9,514.48 : x
  2. Step 2: Convert to fraction form
    30,290.98/45,443.65 = 9,514.48/x
  3. Step 3: Cross multiply
    30,290.98x = 45,443.65 × 9,514.48
  4. Step 4: Simplify right side
    30,290.98x = 432,372,471.83
  5. Step 5: Solve for x
    x = 432,372,471.83/30,290.98
  6. Step 6: Final answer
    x = 14,273.97

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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.