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Finding the Fourth Proportional to 5,177.76, 7,764.64 and 1,714.08

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Solution

The fourth proportional to 5,177.76, 7,764.64 and 1,714.08 is: 2,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.76 : 7,764.64 = 1,714.08 : x
  2. Step 2: Convert to fraction form
    5,177.76/7,764.64 = 1,714.08/x
  3. Step 3: Cross multiply
    5,177.76x = 7,764.64 × 1,714.08
  4. Step 4: Simplify right side
    5,177.76x = 13,309,214.13
  5. Step 5: Solve for x
    x = 13,309,214.13/5,177.76
  6. Step 6: Final answer
    x = 2,570.46

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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.