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Finding the Fourth Proportional to 13,637.93, 18,820.22 and 7,669.64

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Solution

The fourth proportional to 13,637.93, 18,820.22 and 7,669.64 is: 10,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.93 : 18,820.22 = 7,669.64 : x
  2. Step 2: Convert to fraction form
    13,637.93/18,820.22 = 7,669.64/x
  3. Step 3: Cross multiply
    13,637.93x = 18,820.22 × 7,669.64
  4. Step 4: Simplify right side
    13,637.93x = 144,344,312.12
  5. Step 5: Solve for x
    x = 144,344,312.12/13,637.93
  6. Step 6: Final answer
    x = 10,584.03

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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.