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Finding the Fourth Proportional to 4,873, 6,703.50 and 4,272.80

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Solution

The fourth proportional to 4,873, 6,703.50 and 4,272.80 is: 5,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873 : 6,703.50 = 4,272.80 : x
  2. Step 2: Convert to fraction form
    4,873/6,703.50 = 4,272.80/x
  3. Step 3: Cross multiply
    4,873x = 6,703.50 × 4,272.80
  4. Step 4: Simplify right side
    4,873x = 28,642,714.80
  5. Step 5: Solve for x
    x = 28,642,714.80/4,873
  6. Step 6: Final answer
    x = 5,877.84

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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.