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Finding the Fourth Proportional to 30,489.75, 45,742.05 and 9,713.25

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Solution

The fourth proportional to 30,489.75, 45,742.05 and 9,713.25 is: 14,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.75 : 45,742.05 = 9,713.25 : x
  2. Step 2: Convert to fraction form
    30,489.75/45,742.05 = 9,713.25/x
  3. Step 3: Cross multiply
    30,489.75x = 45,742.05 × 9,713.25
  4. Step 4: Simplify right side
    30,489.75x = 444,303,967.16
  5. Step 5: Solve for x
    x = 444,303,967.16/30,489.75
  6. Step 6: Final answer
    x = 14,572.24

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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.