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Finding the Fourth Proportional to 13,364, 20,036.76 and 9,618.08

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Solution

The fourth proportional to 13,364, 20,036.76 and 9,618.08 is: 14,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364 : 20,036.76 = 9,618.08 : x
  2. Step 2: Convert to fraction form
    13,364/20,036.76 = 9,618.08/x
  3. Step 3: Cross multiply
    13,364x = 20,036.76 × 9,618.08
  4. Step 4: Simplify right side
    13,364x = 192,715,160.62
  5. Step 5: Solve for x
    x = 192,715,160.62/13,364
  6. Step 6: Final answer
    x = 14,420.47

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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.