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Finding the Fourth Proportional to 8,464, 11,681.10 and 4,738

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Solution

The fourth proportional to 8,464, 11,681.10 and 4,738 is: 6,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464 : 11,681.10 = 4,738 : x
  2. Step 2: Convert to fraction form
    8,464/11,681.10 = 4,738/x
  3. Step 3: Cross multiply
    8,464x = 11,681.10 × 4,738
  4. Step 4: Simplify right side
    8,464x = 55,345,051.80
  5. Step 5: Solve for x
    x = 55,345,051.80/8,464
  6. Step 6: Final answer
    x = 6,538.88

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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.