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Finding the Fourth Proportional to 8,303.50, 12,455.28 and 2,831.50

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Solution

The fourth proportional to 8,303.50, 12,455.28 and 2,831.50 is: 4,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.50 : 12,455.28 = 2,831.50 : x
  2. Step 2: Convert to fraction form
    8,303.50/12,455.28 = 2,831.50/x
  3. Step 3: Cross multiply
    8,303.50x = 12,455.28 × 2,831.50
  4. Step 4: Simplify right side
    8,303.50x = 35,267,125.32
  5. Step 5: Solve for x
    x = 35,267,125.32/8,303.50
  6. Step 6: Final answer
    x = 4,247.26

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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.