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Finding the Fourth Proportional to 6,959.76, 10,439.64 and 4,218

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Solution

The fourth proportional to 6,959.76, 10,439.64 and 4,218 is: 6,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.76 : 10,439.64 = 4,218 : x
  2. Step 2: Convert to fraction form
    6,959.76/10,439.64 = 4,218/x
  3. Step 3: Cross multiply
    6,959.76x = 10,439.64 × 4,218
  4. Step 4: Simplify right side
    6,959.76x = 44,034,401.52
  5. Step 5: Solve for x
    x = 44,034,401.52/6,959.76
  6. Step 6: Final answer
    x = 6,327.00

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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.