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Finding the Fourth Proportional to 38,476, 53,096.88 and 21,708.64

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Solution

The fourth proportional to 38,476, 53,096.88 and 21,708.64 is: 29,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476 : 53,096.88 = 21,708.64 : x
  2. Step 2: Convert to fraction form
    38,476/53,096.88 = 21,708.64/x
  3. Step 3: Cross multiply
    38,476x = 53,096.88 × 21,708.64
  4. Step 4: Simplify right side
    38,476x = 1,152,661,053.04
  5. Step 5: Solve for x
    x = 1,152,661,053.04/38,476
  6. Step 6: Final answer
    x = 29,957.92

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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.