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Finding the Fourth Proportional to 8,532.06, 12,790.21 and 7,831.53

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Solution

The fourth proportional to 8,532.06, 12,790.21 and 7,831.53 is: 11,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.06 : 12,790.21 = 7,831.53 : x
  2. Step 2: Convert to fraction form
    8,532.06/12,790.21 = 7,831.53/x
  3. Step 3: Cross multiply
    8,532.06x = 12,790.21 × 7,831.53
  4. Step 4: Simplify right side
    8,532.06x = 100,166,913.32
  5. Step 5: Solve for x
    x = 100,166,913.32/8,532.06
  6. Step 6: Final answer
    x = 11,740.06

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1.5x scale

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.