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Finding the Fourth Proportional to 38,185, 52,696.02 and 21,419.08

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Solution

The fourth proportional to 38,185, 52,696.02 and 21,419.08 is: 29,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185 : 52,696.02 = 21,419.08 : x
  2. Step 2: Convert to fraction form
    38,185/52,696.02 = 21,419.08/x
  3. Step 3: Cross multiply
    38,185x = 52,696.02 × 21,419.08
  4. Step 4: Simplify right side
    38,185x = 1,128,700,268.06
  5. Step 5: Solve for x
    x = 1,128,700,268.06/38,185
  6. Step 6: Final answer
    x = 29,558.73

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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.