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Finding the Fourth Proportional to 19,301.70, 28,953.90 and 8,207.14

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Solution

The fourth proportional to 19,301.70, 28,953.90 and 8,207.14 is: 12,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,301.70 : 28,953.90 = 8,207.14 : x
  2. Step 2: Convert to fraction form
    19,301.70/28,953.90 = 8,207.14/x
  3. Step 3: Cross multiply
    19,301.70x = 28,953.90 × 8,207.14
  4. Step 4: Simplify right side
    19,301.70x = 237,628,710.85
  5. Step 5: Solve for x
    x = 237,628,710.85/19,301.70
  6. Step 6: Final answer
    x = 12,311.28

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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.