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Finding the Fourth Proportional to 8,964.84, 12,371.52 and 4,986

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Solution

The fourth proportional to 8,964.84, 12,371.52 and 4,986 is: 6,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.84 : 12,371.52 = 4,986 : x
  2. Step 2: Convert to fraction form
    8,964.84/12,371.52 = 4,986/x
  3. Step 3: Cross multiply
    8,964.84x = 12,371.52 × 4,986
  4. Step 4: Simplify right side
    8,964.84x = 61,684,398.72
  5. Step 5: Solve for x
    x = 61,684,398.72/8,964.84
  6. Step 6: Final answer
    x = 6,880.70

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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.