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Finding the Fourth Proportional to 30,506.56, 45,731.81 and 10,511.29

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Solution

The fourth proportional to 30,506.56, 45,731.81 and 10,511.29 is: 15,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.56 : 45,731.81 = 10,511.29 : x
  2. Step 2: Convert to fraction form
    30,506.56/45,731.81 = 10,511.29/x
  3. Step 3: Cross multiply
    30,506.56x = 45,731.81 × 10,511.29
  4. Step 4: Simplify right side
    30,506.56x = 480,700,229.08
  5. Step 5: Solve for x
    x = 480,700,229.08/30,506.56
  6. Step 6: Final answer
    x = 15,757.28

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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.