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Finding the Fourth Proportional to 13,643.76, 18,831.76 and 8,343.04

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Solution

The fourth proportional to 13,643.76, 18,831.76 and 8,343.04 is: 11,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.76 : 18,831.76 = 8,343.04 : x
  2. Step 2: Convert to fraction form
    13,643.76/18,831.76 = 8,343.04/x
  3. Step 3: Cross multiply
    13,643.76x = 18,831.76 × 8,343.04
  4. Step 4: Simplify right side
    13,643.76x = 157,114,126.95
  5. Step 5: Solve for x
    x = 157,114,126.95/13,643.76
  6. Step 6: Final answer
    x = 11,515.46

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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.