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Finding the Fourth Proportional to 19,997.70, 30,000.15 and 8,312.10

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Solution

The fourth proportional to 19,997.70, 30,000.15 and 8,312.10 is: 12,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.70 : 30,000.15 = 8,312.10 : x
  2. Step 2: Convert to fraction form
    19,997.70/30,000.15 = 8,312.10/x
  3. Step 3: Cross multiply
    19,997.70x = 30,000.15 × 8,312.10
  4. Step 4: Simplify right side
    19,997.70x = 249,364,246.82
  5. Step 5: Solve for x
    x = 249,364,246.82/19,997.70
  6. Step 6: Final answer
    x = 12,469.65

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1.5x scale

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.