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Finding the Fourth Proportional to 11,447, 15,797.10 and 6,479

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Solution

The fourth proportional to 11,447, 15,797.10 and 6,479 is: 8,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447 : 15,797.10 = 6,479 : x
  2. Step 2: Convert to fraction form
    11,447/15,797.10 = 6,479/x
  3. Step 3: Cross multiply
    11,447x = 15,797.10 × 6,479
  4. Step 4: Simplify right side
    11,447x = 102,349,410.90
  5. Step 5: Solve for x
    x = 102,349,410.90/11,447
  6. Step 6: Final answer
    x = 8,941.16

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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.