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Finding the Fourth Proportional to 11,421, 15,760.98 and 6,453

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Solution

The fourth proportional to 11,421, 15,760.98 and 6,453 is: 8,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421 : 15,760.98 = 6,453 : x
  2. Step 2: Convert to fraction form
    11,421/15,760.98 = 6,453/x
  3. Step 3: Cross multiply
    11,421x = 15,760.98 × 6,453
  4. Step 4: Simplify right side
    11,421x = 101,705,603.94
  5. Step 5: Solve for x
    x = 101,705,603.94/11,421
  6. Step 6: Final answer
    x = 8,905.14

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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.