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Finding the Fourth Proportional to 14,588, 20,131.56 and 7,964

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Solution

The fourth proportional to 14,588, 20,131.56 and 7,964 is: 10,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588 : 20,131.56 = 7,964 : x
  2. Step 2: Convert to fraction form
    14,588/20,131.56 = 7,964/x
  3. Step 3: Cross multiply
    14,588x = 20,131.56 × 7,964
  4. Step 4: Simplify right side
    14,588x = 160,327,743.84
  5. Step 5: Solve for x
    x = 160,327,743.84/14,588
  6. Step 6: Final answer
    x = 10,990.39

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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.