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Finding the Fourth Proportional to 13,047, 18,004.86 and 7,381.64

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Solution

The fourth proportional to 13,047, 18,004.86 and 7,381.64 is: 10,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047 : 18,004.86 = 7,381.64 : x
  2. Step 2: Convert to fraction form
    13,047/18,004.86 = 7,381.64/x
  3. Step 3: Cross multiply
    13,047x = 18,004.86 × 7,381.64
  4. Step 4: Simplify right side
    13,047x = 132,905,304.75
  5. Step 5: Solve for x
    x = 132,905,304.75/13,047
  6. Step 6: Final answer
    x = 10,186.66

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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.