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Finding the Fourth Proportional to 10,406.65, 15,615.65 and 3,831.88

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Solution

The fourth proportional to 10,406.65, 15,615.65 and 3,831.88 is: 5,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.65 : 15,615.65 = 3,831.88 : x
  2. Step 2: Convert to fraction form
    10,406.65/15,615.65 = 3,831.88/x
  3. Step 3: Cross multiply
    10,406.65x = 15,615.65 × 3,831.88
  4. Step 4: Simplify right side
    10,406.65x = 59,837,277.76
  5. Step 5: Solve for x
    x = 59,837,277.76/10,406.65
  6. Step 6: Final answer
    x = 5,749.91

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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.