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Finding the Fourth Proportional to 14,944, 20,615.80 and 9,640.53

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Solution

The fourth proportional to 14,944, 20,615.80 and 9,640.53 is: 13,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944 : 20,615.80 = 9,640.53 : x
  2. Step 2: Convert to fraction form
    14,944/20,615.80 = 9,640.53/x
  3. Step 3: Cross multiply
    14,944x = 20,615.80 × 9,640.53
  4. Step 4: Simplify right side
    14,944x = 198,747,238.37
  5. Step 5: Solve for x
    x = 198,747,238.37/14,944
  6. Step 6: Final answer
    x = 13,299.47

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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.