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Finding the Fourth Proportional to 6,459.78, 9,690.34 and 2,076.20

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Solution

The fourth proportional to 6,459.78, 9,690.34 and 2,076.20 is: 3,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.78 : 9,690.34 = 2,076.20 : x
  2. Step 2: Convert to fraction form
    6,459.78/9,690.34 = 2,076.20/x
  3. Step 3: Cross multiply
    6,459.78x = 9,690.34 × 2,076.20
  4. Step 4: Simplify right side
    6,459.78x = 20,119,083.91
  5. Step 5: Solve for x
    x = 20,119,083.91/6,459.78
  6. Step 6: Final answer
    x = 3,114.52

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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.