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Finding the Fourth Proportional to 8,561, 11,815.80 and 4,835

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Solution

The fourth proportional to 8,561, 11,815.80 and 4,835 is: 6,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561 : 11,815.80 = 4,835 : x
  2. Step 2: Convert to fraction form
    8,561/11,815.80 = 4,835/x
  3. Step 3: Cross multiply
    8,561x = 11,815.80 × 4,835
  4. Step 4: Simplify right side
    8,561x = 57,129,393
  5. Step 5: Solve for x
    x = 57,129,393/8,561
  6. Step 6: Final answer
    x = 6,673.21

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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.