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Finding the Fourth Proportional to 6,486.80, 9,719.40 and 4,294.40

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Solution

The fourth proportional to 6,486.80, 9,719.40 and 4,294.40 is: 6,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.80 : 9,719.40 = 4,294.40 : x
  2. Step 2: Convert to fraction form
    6,486.80/9,719.40 = 4,294.40/x
  3. Step 3: Cross multiply
    6,486.80x = 9,719.40 × 4,294.40
  4. Step 4: Simplify right side
    6,486.80x = 41,738,991.36
  5. Step 5: Solve for x
    x = 41,738,991.36/6,486.80
  6. Step 6: Final answer
    x = 6,434.45

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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.