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Finding the Fourth Proportional to 6,476.77, 9,714.88 and 1,859.77

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Solution

The fourth proportional to 6,476.77, 9,714.88 and 1,859.77 is: 2,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.77 : 9,714.88 = 1,859.77 : x
  2. Step 2: Convert to fraction form
    6,476.77/9,714.88 = 1,859.77/x
  3. Step 3: Cross multiply
    6,476.77x = 9,714.88 × 1,859.77
  4. Step 4: Simplify right side
    6,476.77x = 18,067,442.38
  5. Step 5: Solve for x
    x = 18,067,442.38/6,476.77
  6. Step 6: Final answer
    x = 2,789.58

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1.5x scale

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.