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Finding the Fourth Proportional to 11,368, 15,689.28 and 6,400

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Solution

The fourth proportional to 11,368, 15,689.28 and 6,400 is: 8,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368 : 15,689.28 = 6,400 : x
  2. Step 2: Convert to fraction form
    11,368/15,689.28 = 6,400/x
  3. Step 3: Cross multiply
    11,368x = 15,689.28 × 6,400
  4. Step 4: Simplify right side
    11,368x = 100,411,392
  5. Step 5: Solve for x
    x = 100,411,392/11,368
  6. Step 6: Final answer
    x = 8,832.81

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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.