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Finding the Fourth Proportional to 3,892.32, 5,838.48 and 1,943.46

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Solution

The fourth proportional to 3,892.32, 5,838.48 and 1,943.46 is: 2,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.32 : 5,838.48 = 1,943.46 : x
  2. Step 2: Convert to fraction form
    3,892.32/5,838.48 = 1,943.46/x
  3. Step 3: Cross multiply
    3,892.32x = 5,838.48 × 1,943.46
  4. Step 4: Simplify right side
    3,892.32x = 11,346,852.34
  5. Step 5: Solve for x
    x = 11,346,852.34/3,892.32
  6. Step 6: Final answer
    x = 2,915.19

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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.