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Finding the Fourth Proportional to 8,421, 11,621.25 and 4,695

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Solution

The fourth proportional to 8,421, 11,621.25 and 4,695 is: 6,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421 : 11,621.25 = 4,695 : x
  2. Step 2: Convert to fraction form
    8,421/11,621.25 = 4,695/x
  3. Step 3: Cross multiply
    8,421x = 11,621.25 × 4,695
  4. Step 4: Simplify right side
    8,421x = 54,561,768.75
  5. Step 5: Solve for x
    x = 54,561,768.75/8,421
  6. Step 6: Final answer
    x = 6,479.25

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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.