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Finding the Fourth Proportional to 5,679.78, 8,519.10 and 1,782.06

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Solution

The fourth proportional to 5,679.78, 8,519.10 and 1,782.06 is: 2,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.78 : 8,519.10 = 1,782.06 : x
  2. Step 2: Convert to fraction form
    5,679.78/8,519.10 = 1,782.06/x
  3. Step 3: Cross multiply
    5,679.78x = 8,519.10 × 1,782.06
  4. Step 4: Simplify right side
    5,679.78x = 15,181,547.35
  5. Step 5: Solve for x
    x = 15,181,547.35/5,679.78
  6. Step 6: Final answer
    x = 2,672.91

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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.