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Finding the Fourth Proportional to 38,474, 53,094.12 and 21,706.64

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Solution

The fourth proportional to 38,474, 53,094.12 and 21,706.64 is: 29,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474 : 53,094.12 = 21,706.64 : x
  2. Step 2: Convert to fraction form
    38,474/53,094.12 = 21,706.64/x
  3. Step 3: Cross multiply
    38,474x = 53,094.12 × 21,706.64
  4. Step 4: Simplify right side
    38,474x = 1,152,494,948.96
  5. Step 5: Solve for x
    x = 1,152,494,948.96/38,474
  6. Step 6: Final answer
    x = 29,955.16

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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.