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Finding the Fourth Proportional to 5,386.72, 8,078.64 and 2,308

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Solution

The fourth proportional to 5,386.72, 8,078.64 and 2,308 is: 3,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.72 : 8,078.64 = 2,308 : x
  2. Step 2: Convert to fraction form
    5,386.72/8,078.64 = 2,308/x
  3. Step 3: Cross multiply
    5,386.72x = 8,078.64 × 2,308
  4. Step 4: Simplify right side
    5,386.72x = 18,645,501.12
  5. Step 5: Solve for x
    x = 18,645,501.12/5,386.72
  6. Step 6: Final answer
    x = 3,461.38

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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.