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Finding the Fourth Proportional to 19,270, 26,592.60 and 10,438

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Solution

The fourth proportional to 19,270, 26,592.60 and 10,438 is: 14,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,270 : 26,592.60 = 10,438 : x
  2. Step 2: Convert to fraction form
    19,270/26,592.60 = 10,438/x
  3. Step 3: Cross multiply
    19,270x = 26,592.60 × 10,438
  4. Step 4: Simplify right side
    19,270x = 277,573,558.80
  5. Step 5: Solve for x
    x = 277,573,558.80/19,270
  6. Step 6: Final answer
    x = 14,404.44

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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.