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Finding the Fourth Proportional to 5,645.60, 7,787.04 and 3,970.56

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Solution

The fourth proportional to 5,645.60, 7,787.04 and 3,970.56 is: 5,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.60 : 7,787.04 = 3,970.56 : x
  2. Step 2: Convert to fraction form
    5,645.60/7,787.04 = 3,970.56/x
  3. Step 3: Cross multiply
    5,645.60x = 7,787.04 × 3,970.56
  4. Step 4: Simplify right side
    5,645.60x = 30,918,909.54
  5. Step 5: Solve for x
    x = 30,918,909.54/5,645.60
  6. Step 6: Final answer
    x = 5,476.64

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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.