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Finding the Fourth Proportional to 4,978.08, 7,471.74 and 2,514.63

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Solution

The fourth proportional to 4,978.08, 7,471.74 and 2,514.63 is: 3,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.08 : 7,471.74 = 2,514.63 : x
  2. Step 2: Convert to fraction form
    4,978.08/7,471.74 = 2,514.63/x
  3. Step 3: Cross multiply
    4,978.08x = 7,471.74 × 2,514.63
  4. Step 4: Simplify right side
    4,978.08x = 18,788,689.58
  5. Step 5: Solve for x
    x = 18,788,689.58/4,978.08
  6. Step 6: Final answer
    x = 3,774.28

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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.