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Finding the Fourth Proportional to 21,452, 29,603.76 and 14,000

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Solution

The fourth proportional to 21,452, 29,603.76 and 14,000 is: 19,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452 : 29,603.76 = 14,000 : x
  2. Step 2: Convert to fraction form
    21,452/29,603.76 = 14,000/x
  3. Step 3: Cross multiply
    21,452x = 29,603.76 × 14,000
  4. Step 4: Simplify right side
    21,452x = 414,452,640
  5. Step 5: Solve for x
    x = 414,452,640/21,452
  6. Step 6: Final answer
    x = 19,320

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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.