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Finding the Fourth Proportional to 8,447, 11,656.86 and 4,721

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Solution

The fourth proportional to 8,447, 11,656.86 and 4,721 is: 6,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447 : 11,656.86 = 4,721 : x
  2. Step 2: Convert to fraction form
    8,447/11,656.86 = 4,721/x
  3. Step 3: Cross multiply
    8,447x = 11,656.86 × 4,721
  4. Step 4: Simplify right side
    8,447x = 55,032,036.06
  5. Step 5: Solve for x
    x = 55,032,036.06/8,447
  6. Step 6: Final answer
    x = 6,514.98

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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.