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Finding the Fourth Proportional to 6,946.32, 9,583.54 and 3,960

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Solution

The fourth proportional to 6,946.32, 9,583.54 and 3,960 is: 5,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.32 : 9,583.54 = 3,960 : x
  2. Step 2: Convert to fraction form
    6,946.32/9,583.54 = 3,960/x
  3. Step 3: Cross multiply
    6,946.32x = 9,583.54 × 3,960
  4. Step 4: Simplify right side
    6,946.32x = 37,950,818.40
  5. Step 5: Solve for x
    x = 37,950,818.40/6,946.32
  6. Step 6: Final answer
    x = 5,463.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.