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Finding the Fourth Proportional to 14,005, 21,000.07 and 4,142.91

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Solution

The fourth proportional to 14,005, 21,000.07 and 4,142.91 is: 6,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005 : 21,000.07 = 4,142.91 : x
  2. Step 2: Convert to fraction form
    14,005/21,000.07 = 4,142.91/x
  3. Step 3: Cross multiply
    14,005x = 21,000.07 × 4,142.91
  4. Step 4: Simplify right side
    14,005x = 87,001,400.00
  5. Step 5: Solve for x
    x = 87,001,400.00/14,005
  6. Step 6: Final answer
    x = 6,212.17

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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.