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Finding the Fourth Proportional to 21,659, 32,430.09 and 14,143.94

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Solution

The fourth proportional to 21,659, 32,430.09 and 14,143.94 is: 21,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659 : 32,430.09 = 14,143.94 : x
  2. Step 2: Convert to fraction form
    21,659/32,430.09 = 14,143.94/x
  3. Step 3: Cross multiply
    21,659x = 32,430.09 × 14,143.94
  4. Step 4: Simplify right side
    21,659x = 458,689,247.15
  5. Step 5: Solve for x
    x = 458,689,247.15/21,659
  6. Step 6: Final answer
    x = 21,177.77

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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.