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Finding the Fourth Proportional to 10,421, 15,633.68 and 4,265

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Solution

The fourth proportional to 10,421, 15,633.68 and 4,265 is: 6,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421 : 15,633.68 = 4,265 : x
  2. Step 2: Convert to fraction form
    10,421/15,633.68 = 4,265/x
  3. Step 3: Cross multiply
    10,421x = 15,633.68 × 4,265
  4. Step 4: Simplify right side
    10,421x = 66,677,645.20
  5. Step 5: Solve for x
    x = 66,677,645.20/10,421
  6. Step 6: Final answer
    x = 6,398.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.