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Finding the Fourth Proportional to 38,398, 53,007 and 27,076.72

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Solution

The fourth proportional to 38,398, 53,007 and 27,076.72 is: 37,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,398 : 53,007 = 27,076.72 : x
  2. Step 2: Convert to fraction form
    38,398/53,007 = 27,076.72/x
  3. Step 3: Cross multiply
    38,398x = 53,007 × 27,076.72
  4. Step 4: Simplify right side
    38,398x = 1,435,255,697.04
  5. Step 5: Solve for x
    x = 1,435,255,697.04/38,398
  6. Step 6: Final answer
    x = 37,378.40

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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.