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Finding the Fourth Proportional to 3,905.42, 5,854.05 and 1,712.30

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Solution

The fourth proportional to 3,905.42, 5,854.05 and 1,712.30 is: 2,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.42 : 5,854.05 = 1,712.30 : x
  2. Step 2: Convert to fraction form
    3,905.42/5,854.05 = 1,712.30/x
  3. Step 3: Cross multiply
    3,905.42x = 5,854.05 × 1,712.30
  4. Step 4: Simplify right side
    3,905.42x = 10,023,889.82
  5. Step 5: Solve for x
    x = 10,023,889.82/3,905.42
  6. Step 6: Final answer
    x = 2,566.66

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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.