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Finding the Fourth Proportional to 38,178, 57,270.24 and 10,476

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Solution

The fourth proportional to 38,178, 57,270.24 and 10,476 is: 15,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178 : 57,270.24 = 10,476 : x
  2. Step 2: Convert to fraction form
    38,178/57,270.24 = 10,476/x
  3. Step 3: Cross multiply
    38,178x = 57,270.24 × 10,476
  4. Step 4: Simplify right side
    38,178x = 599,963,034.24
  5. Step 5: Solve for x
    x = 599,963,034.24/38,178
  6. Step 6: Final answer
    x = 15,714.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.