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Finding the Fourth Proportional to 21,462, 29,611.04 and 13,512.16

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Solution

The fourth proportional to 21,462, 29,611.04 and 13,512.16 is: 18,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462 : 29,611.04 = 13,512.16 : x
  2. Step 2: Convert to fraction form
    21,462/29,611.04 = 13,512.16/x
  3. Step 3: Cross multiply
    21,462x = 29,611.04 × 13,512.16
  4. Step 4: Simplify right side
    21,462x = 400,109,110.25
  5. Step 5: Solve for x
    x = 400,109,110.25/21,462
  6. Step 6: Final answer
    x = 18,642.68

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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.