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Finding the Fourth Proportional to 38,428, 57,645.78 and 10,726

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Solution

The fourth proportional to 38,428, 57,645.78 and 10,726 is: 16,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428 : 57,645.78 = 10,726 : x
  2. Step 2: Convert to fraction form
    38,428/57,645.78 = 10,726/x
  3. Step 3: Cross multiply
    38,428x = 57,645.78 × 10,726
  4. Step 4: Simplify right side
    38,428x = 618,308,636.28
  5. Step 5: Solve for x
    x = 618,308,636.28/38,428
  6. Step 6: Final answer
    x = 16,090.06

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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.