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Finding the Fourth Proportional to 8,434.34, 12,649.29 and 2,509.63

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Solution

The fourth proportional to 8,434.34, 12,649.29 and 2,509.63 is: 3,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.34 : 12,649.29 = 2,509.63 : x
  2. Step 2: Convert to fraction form
    8,434.34/12,649.29 = 2,509.63/x
  3. Step 3: Cross multiply
    8,434.34x = 12,649.29 × 2,509.63
  4. Step 4: Simplify right side
    8,434.34x = 31,745,037.66
  5. Step 5: Solve for x
    x = 31,745,037.66/8,434.34
  6. Step 6: Final answer
    x = 3,763.78

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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.