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Finding the Fourth Proportional to 5,855.76, 8,078.40 and 3,730.16

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Solution

The fourth proportional to 5,855.76, 8,078.40 and 3,730.16 is: 5,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.76 : 8,078.40 = 3,730.16 : x
  2. Step 2: Convert to fraction form
    5,855.76/8,078.40 = 3,730.16/x
  3. Step 3: Cross multiply
    5,855.76x = 8,078.40 × 3,730.16
  4. Step 4: Simplify right side
    5,855.76x = 30,133,724.54
  5. Step 5: Solve for x
    x = 30,133,724.54/5,855.76
  6. Step 6: Final answer
    x = 5,146.00

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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.