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Finding the Fourth Proportional to 10,318, 15,477.36 and 3,393.04

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Solution

The fourth proportional to 10,318, 15,477.36 and 3,393.04 is: 5,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318 : 15,477.36 = 3,393.04 : x
  2. Step 2: Convert to fraction form
    10,318/15,477.36 = 3,393.04/x
  3. Step 3: Cross multiply
    10,318x = 15,477.36 × 3,393.04
  4. Step 4: Simplify right side
    10,318x = 52,515,301.57
  5. Step 5: Solve for x
    x = 52,515,301.57/10,318
  6. Step 6: Final answer
    x = 5,089.68

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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.