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Finding the Fourth Proportional to 3,608.52, 4,978.14 and 2,547.81

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Solution

The fourth proportional to 3,608.52, 4,978.14 and 2,547.81 is: 3,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.52 : 4,978.14 = 2,547.81 : x
  2. Step 2: Convert to fraction form
    3,608.52/4,978.14 = 2,547.81/x
  3. Step 3: Cross multiply
    3,608.52x = 4,978.14 × 2,547.81
  4. Step 4: Simplify right side
    3,608.52x = 12,683,354.87
  5. Step 5: Solve for x
    x = 12,683,354.87/3,608.52
  6. Step 6: Final answer
    x = 3,514.84

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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.