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Finding the Fourth Proportional to 14,791.56, 20,412.06 and 8,077.16

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Solution

The fourth proportional to 14,791.56, 20,412.06 and 8,077.16 is: 11,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.56 : 20,412.06 = 8,077.16 : x
  2. Step 2: Convert to fraction form
    14,791.56/20,412.06 = 8,077.16/x
  3. Step 3: Cross multiply
    14,791.56x = 20,412.06 × 8,077.16
  4. Step 4: Simplify right side
    14,791.56x = 164,871,474.55
  5. Step 5: Solve for x
    x = 164,871,474.55/14,791.56
  6. Step 6: Final answer
    x = 11,146.32

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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.