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Finding the Fourth Proportional to 30,441.51, 42,009.21 and 17,012.75

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Solution

The fourth proportional to 30,441.51, 42,009.21 and 17,012.75 is: 23,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.51 : 42,009.21 = 17,012.75 : x
  2. Step 2: Convert to fraction form
    30,441.51/42,009.21 = 17,012.75/x
  3. Step 3: Cross multiply
    30,441.51x = 42,009.21 × 17,012.75
  4. Step 4: Simplify right side
    30,441.51x = 714,691,977.38
  5. Step 5: Solve for x
    x = 714,691,977.38/30,441.51
  6. Step 6: Final answer
    x = 23,477.55

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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.