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Finding the Fourth Proportional to 30,635.81, 42,275.31 and 17,208.30

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Solution

The fourth proportional to 30,635.81, 42,275.31 and 17,208.30 is: 23,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.81 : 42,275.31 = 17,208.30 : x
  2. Step 2: Convert to fraction form
    30,635.81/42,275.31 = 17,208.30/x
  3. Step 3: Cross multiply
    30,635.81x = 42,275.31 × 17,208.30
  4. Step 4: Simplify right side
    30,635.81x = 727,486,217.07
  5. Step 5: Solve for x
    x = 727,486,217.07/30,635.81
  6. Step 6: Final answer
    x = 23,746.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.