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Finding the Fourth Proportional to 8,509.71, 12,760.25 and 3,888.75

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Solution

The fourth proportional to 8,509.71, 12,760.25 and 3,888.75 is: 5,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.71 : 12,760.25 = 3,888.75 : x
  2. Step 2: Convert to fraction form
    8,509.71/12,760.25 = 3,888.75/x
  3. Step 3: Cross multiply
    8,509.71x = 12,760.25 × 3,888.75
  4. Step 4: Simplify right side
    8,509.71x = 49,621,402.74
  5. Step 5: Solve for x
    x = 49,621,402.74/8,509.71
  6. Step 6: Final answer
    x = 5,831.15

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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.