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Finding the Fourth Proportional to 30,983.52, 46,474.74 and 10,207.20

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Solution

The fourth proportional to 30,983.52, 46,474.74 and 10,207.20 is: 15,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.52 : 46,474.74 = 10,207.20 : x
  2. Step 2: Convert to fraction form
    30,983.52/46,474.74 = 10,207.20/x
  3. Step 3: Cross multiply
    30,983.52x = 46,474.74 × 10,207.20
  4. Step 4: Simplify right side
    30,983.52x = 474,376,966.13
  5. Step 5: Solve for x
    x = 474,376,966.13/30,983.52
  6. Step 6: Final answer
    x = 15,310.62

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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.