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Finding the Fourth Proportional to 13,102.78, 18,081.40 and 7,134.40

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Solution

The fourth proportional to 13,102.78, 18,081.40 and 7,134.40 is: 9,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.78 : 18,081.40 = 7,134.40 : x
  2. Step 2: Convert to fraction form
    13,102.78/18,081.40 = 7,134.40/x
  3. Step 3: Cross multiply
    13,102.78x = 18,081.40 × 7,134.40
  4. Step 4: Simplify right side
    13,102.78x = 128,999,940.16
  5. Step 5: Solve for x
    x = 128,999,940.16/13,102.78
  6. Step 6: Final answer
    x = 9,845.23

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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.