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Finding the Fourth Proportional to 10,271.30, 15,409.20 and 4,031.30

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Solution

The fourth proportional to 10,271.30, 15,409.20 and 4,031.30 is: 6,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.30 : 15,409.20 = 4,031.30 : x
  2. Step 2: Convert to fraction form
    10,271.30/15,409.20 = 4,031.30/x
  3. Step 3: Cross multiply
    10,271.30x = 15,409.20 × 4,031.30
  4. Step 4: Simplify right side
    10,271.30x = 62,119,107.96
  5. Step 5: Solve for x
    x = 62,119,107.96/10,271.30
  6. Step 6: Final answer
    x = 6,047.83

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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.