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Finding the Fourth Proportional to 38,610, 57,923.64 and 13,649.76

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Solution

The fourth proportional to 38,610, 57,923.64 and 13,649.76 is: 20,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,610 : 57,923.64 = 13,649.76 : x
  2. Step 2: Convert to fraction form
    38,610/57,923.64 = 13,649.76/x
  3. Step 3: Cross multiply
    38,610x = 57,923.64 × 13,649.76
  4. Step 4: Simplify right side
    38,610x = 790,643,784.33
  5. Step 5: Solve for x
    x = 790,643,784.33/38,610
  6. Step 6: Final answer
    x = 20,477.69

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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.