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Finding the Fourth Proportional to 10,009.70, 13,819.82 and 6,426.20

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Solution

The fourth proportional to 10,009.70, 13,819.82 and 6,426.20 is: 8,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.70 : 13,819.82 = 6,426.20 : x
  2. Step 2: Convert to fraction form
    10,009.70/13,819.82 = 6,426.20/x
  3. Step 3: Cross multiply
    10,009.70x = 13,819.82 × 6,426.20
  4. Step 4: Simplify right side
    10,009.70x = 88,808,927.28
  5. Step 5: Solve for x
    x = 88,808,927.28/10,009.70
  6. Step 6: Final answer
    x = 8,872.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.