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Finding the Fourth Proportional to 13,657.09, 18,844.09 and 7,689.01

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Solution

The fourth proportional to 13,657.09, 18,844.09 and 7,689.01 is: 10,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.09 : 18,844.09 = 7,689.01 : x
  2. Step 2: Convert to fraction form
    13,657.09/18,844.09 = 7,689.01/x
  3. Step 3: Cross multiply
    13,657.09x = 18,844.09 × 7,689.01
  4. Step 4: Simplify right side
    13,657.09x = 144,892,396.45
  5. Step 5: Solve for x
    x = 144,892,396.45/13,657.09
  6. Step 6: Final answer
    x = 10,609.32

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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.