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Finding the Fourth Proportional to 3,830.48, 5,746.36 and 1,364.78

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Solution

The fourth proportional to 3,830.48, 5,746.36 and 1,364.78 is: 2,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.48 : 5,746.36 = 1,364.78 : x
  2. Step 2: Convert to fraction form
    3,830.48/5,746.36 = 1,364.78/x
  3. Step 3: Cross multiply
    3,830.48x = 5,746.36 × 1,364.78
  4. Step 4: Simplify right side
    3,830.48x = 7,842,517.20
  5. Step 5: Solve for x
    x = 7,842,517.20/3,830.48
  6. Step 6: Final answer
    x = 2,047.40

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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.