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Finding the Fourth Proportional to 5,638.52, 7,787.84 and 4,228.38

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Solution

The fourth proportional to 5,638.52, 7,787.84 and 4,228.38 is: 5,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.52 : 7,787.84 = 4,228.38 : x
  2. Step 2: Convert to fraction form
    5,638.52/7,787.84 = 4,228.38/x
  3. Step 3: Cross multiply
    5,638.52x = 7,787.84 × 4,228.38
  4. Step 4: Simplify right side
    5,638.52x = 32,929,925.76
  5. Step 5: Solve for x
    x = 32,929,925.76/5,638.52
  6. Step 6: Final answer
    x = 5,840.17

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Half scale
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Double scale
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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.