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Finding the Fourth Proportional to 5,672.64, 7,830.88 and 3,787.36

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Solution

The fourth proportional to 5,672.64, 7,830.88 and 3,787.36 is: 5,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.64 : 7,830.88 = 3,787.36 : x
  2. Step 2: Convert to fraction form
    5,672.64/7,830.88 = 3,787.36/x
  3. Step 3: Cross multiply
    5,672.64x = 7,830.88 × 3,787.36
  4. Step 4: Simplify right side
    5,672.64x = 29,658,361.68
  5. Step 5: Solve for x
    x = 29,658,361.68/5,672.64
  6. Step 6: Final answer
    x = 5,228.32

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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.