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Finding the Fourth Proportional to 30,486.96, 45,739.08 and 9,712.08

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Solution

The fourth proportional to 30,486.96, 45,739.08 and 9,712.08 is: 14,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.96 : 45,739.08 = 9,712.08 : x
  2. Step 2: Convert to fraction form
    30,486.96/45,739.08 = 9,712.08/x
  3. Step 3: Cross multiply
    30,486.96x = 45,739.08 × 9,712.08
  4. Step 4: Simplify right side
    30,486.96x = 444,221,604.09
  5. Step 5: Solve for x
    x = 444,221,604.09/30,486.96
  6. Step 6: Final answer
    x = 14,570.87

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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.