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Finding the Fourth Proportional to 25,614, 38,421 and 7,146

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Solution

The fourth proportional to 25,614, 38,421 and 7,146 is: 10,719

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614 : 38,421 = 7,146 : x
  2. Step 2: Convert to fraction form
    25,614/38,421 = 7,146/x
  3. Step 3: Cross multiply
    25,614x = 38,421 × 7,146
  4. Step 4: Simplify right side
    25,614x = 274,556,466
  5. Step 5: Solve for x
    x = 274,556,466/25,614
  6. Step 6: Final answer
    x = 10,719

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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.