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Finding the Fourth Proportional to 10,424, 15,638.70 and 3,406.16

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Solution

The fourth proportional to 10,424, 15,638.70 and 3,406.16 is: 5,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424 : 15,638.70 = 3,406.16 : x
  2. Step 2: Convert to fraction form
    10,424/15,638.70 = 3,406.16/x
  3. Step 3: Cross multiply
    10,424x = 15,638.70 × 3,406.16
  4. Step 4: Simplify right side
    10,424x = 53,267,914.39
  5. Step 5: Solve for x
    x = 53,267,914.39/10,424
  6. Step 6: Final answer
    x = 5,110.12

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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.