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Finding the Fourth Proportional to 13,098.36, 18,074.36 and 7,431.32

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Solution

The fourth proportional to 13,098.36, 18,074.36 and 7,431.32 is: 10,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.36 : 18,074.36 = 7,431.32 : x
  2. Step 2: Convert to fraction form
    13,098.36/18,074.36 = 7,431.32/x
  3. Step 3: Cross multiply
    13,098.36x = 18,074.36 × 7,431.32
  4. Step 4: Simplify right side
    13,098.36x = 134,316,225.43
  5. Step 5: Solve for x
    x = 134,316,225.43/13,098.36
  6. Step 6: Final answer
    x = 10,254.43

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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.