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Finding the Fourth Proportional to 9,613, 14,419.80 and 3,039.24

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Solution

The fourth proportional to 9,613, 14,419.80 and 3,039.24 is: 4,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613 : 14,419.80 = 3,039.24 : x
  2. Step 2: Convert to fraction form
    9,613/14,419.80 = 3,039.24/x
  3. Step 3: Cross multiply
    9,613x = 14,419.80 × 3,039.24
  4. Step 4: Simplify right side
    9,613x = 43,825,232.95
  5. Step 5: Solve for x
    x = 43,825,232.95/9,613
  6. Step 6: Final answer
    x = 4,558.95

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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.