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Finding the Fourth Proportional to 30,505.81, 45,747.99 and 9,152.15

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Solution

The fourth proportional to 30,505.81, 45,747.99 and 9,152.15 is: 13,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.81 : 45,747.99 = 9,152.15 : x
  2. Step 2: Convert to fraction form
    30,505.81/45,747.99 = 9,152.15/x
  3. Step 3: Cross multiply
    30,505.81x = 45,747.99 × 9,152.15
  4. Step 4: Simplify right side
    30,505.81x = 418,692,466.68
  5. Step 5: Solve for x
    x = 418,692,466.68/30,505.81
  6. Step 6: Final answer
    x = 13,725.01

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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.