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Finding the Fourth Proportional to 13,871.76, 20,803.52 and 4,011.12

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Solution

The fourth proportional to 13,871.76, 20,803.52 and 4,011.12 is: 6,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.76 : 20,803.52 = 4,011.12 : x
  2. Step 2: Convert to fraction form
    13,871.76/20,803.52 = 4,011.12/x
  3. Step 3: Cross multiply
    13,871.76x = 20,803.52 × 4,011.12
  4. Step 4: Simplify right side
    13,871.76x = 83,445,415.14
  5. Step 5: Solve for x
    x = 83,445,415.14/13,871.76
  6. Step 6: Final answer
    x = 6,015.49

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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.