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Finding the Fourth Proportional to 5,693.70, 7,860.40 and 3,934.76

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Solution

The fourth proportional to 5,693.70, 7,860.40 and 3,934.76 is: 5,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.70 : 7,860.40 = 3,934.76 : x
  2. Step 2: Convert to fraction form
    5,693.70/7,860.40 = 3,934.76/x
  3. Step 3: Cross multiply
    5,693.70x = 7,860.40 × 3,934.76
  4. Step 4: Simplify right side
    5,693.70x = 30,928,787.50
  5. Step 5: Solve for x
    x = 30,928,787.50/5,693.70
  6. Step 6: Final answer
    x = 5,432.11

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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.