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Finding the Fourth Proportional to 38,252, 52,792.71 and 21,485

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Solution

The fourth proportional to 38,252, 52,792.71 and 21,485 is: 29,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252 : 52,792.71 = 21,485 : x
  2. Step 2: Convert to fraction form
    38,252/52,792.71 = 21,485/x
  3. Step 3: Cross multiply
    38,252x = 52,792.71 × 21,485
  4. Step 4: Simplify right side
    38,252x = 1,134,251,374.35
  5. Step 5: Solve for x
    x = 1,134,251,374.35/38,252
  6. Step 6: Final answer
    x = 29,652.08

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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.