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Finding the Fourth Proportional to 4,649.08, 6,978.48 and 3,417.88

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Solution

The fourth proportional to 4,649.08, 6,978.48 and 3,417.88 is: 5,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.08 : 6,978.48 = 3,417.88 : x
  2. Step 2: Convert to fraction form
    4,649.08/6,978.48 = 3,417.88/x
  3. Step 3: Cross multiply
    4,649.08x = 6,978.48 × 3,417.88
  4. Step 4: Simplify right side
    4,649.08x = 23,851,607.22
  5. Step 5: Solve for x
    x = 23,851,607.22/4,649.08
  6. Step 6: Final answer
    x = 5,130.39

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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.