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Finding the Fourth Proportional to 12,831.84, 17,708.04 and 7,242.84

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Solution

The fourth proportional to 12,831.84, 17,708.04 and 7,242.84 is: 9,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.84 : 17,708.04 = 7,242.84 : x
  2. Step 2: Convert to fraction form
    12,831.84/17,708.04 = 7,242.84/x
  3. Step 3: Cross multiply
    12,831.84x = 17,708.04 × 7,242.84
  4. Step 4: Simplify right side
    12,831.84x = 128,256,500.43
  5. Step 5: Solve for x
    x = 128,256,500.43/12,831.84
  6. Step 6: Final answer
    x = 9,995.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.