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Finding the Fourth Proportional to 5,390.01, 8,032.08 and 5,213.82

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Solution

The fourth proportional to 5,390.01, 8,032.08 and 5,213.82 is: 7,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.01 : 8,032.08 = 5,213.82 : x
  2. Step 2: Convert to fraction form
    5,390.01/8,032.08 = 5,213.82/x
  3. Step 3: Cross multiply
    5,390.01x = 8,032.08 × 5,213.82
  4. Step 4: Simplify right side
    5,390.01x = 41,877,819.35
  5. Step 5: Solve for x
    x = 41,877,819.35/5,390.01
  6. Step 6: Final answer
    x = 7,769.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.