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Finding the Fourth Proportional to 38,237, 52,769.40 and 21,470

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Solution

The fourth proportional to 38,237, 52,769.40 and 21,470 is: 29,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,237 : 52,769.40 = 21,470 : x
  2. Step 2: Convert to fraction form
    38,237/52,769.40 = 21,470/x
  3. Step 3: Cross multiply
    38,237x = 52,769.40 × 21,470
  4. Step 4: Simplify right side
    38,237x = 1,132,959,018
  5. Step 5: Solve for x
    x = 1,132,959,018/38,237
  6. Step 6: Final answer
    x = 29,629.91

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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.