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Finding the Fourth Proportional to 13,831.88, 19,087.86 and 7,543.88

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Solution

The fourth proportional to 13,831.88, 19,087.86 and 7,543.88 is: 10,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.88 : 19,087.86 = 7,543.88 : x
  2. Step 2: Convert to fraction form
    13,831.88/19,087.86 = 7,543.88/x
  3. Step 3: Cross multiply
    13,831.88x = 19,087.86 × 7,543.88
  4. Step 4: Simplify right side
    13,831.88x = 143,996,525.30
  5. Step 5: Solve for x
    x = 143,996,525.30/13,831.88
  6. Step 6: Final answer
    x = 10,410.48

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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.