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Finding the Fourth Proportional to 21,642, 32,463 and 7,050

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Solution

The fourth proportional to 21,642, 32,463 and 7,050 is: 10,575

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642 : 32,463 = 7,050 : x
  2. Step 2: Convert to fraction form
    21,642/32,463 = 7,050/x
  3. Step 3: Cross multiply
    21,642x = 32,463 × 7,050
  4. Step 4: Simplify right side
    21,642x = 228,864,150
  5. Step 5: Solve for x
    x = 228,864,150/21,642
  6. Step 6: Final answer
    x = 10,575

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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.