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Finding the Fourth Proportional to 13,686.92, 18,893.06 and 10,656.04

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Solution

The fourth proportional to 13,686.92, 18,893.06 and 10,656.04 is: 14,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.92 : 18,893.06 = 10,656.04 : x
  2. Step 2: Convert to fraction form
    13,686.92/18,893.06 = 10,656.04/x
  3. Step 3: Cross multiply
    13,686.92x = 18,893.06 × 10,656.04
  4. Step 4: Simplify right side
    13,686.92x = 201,325,203.08
  5. Step 5: Solve for x
    x = 201,325,203.08/13,686.92
  6. Step 6: Final answer
    x = 14,709.31

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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.