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Finding the Fourth Proportional to 30,820.57, 42,532.36 and 16,673.43

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Solution

The fourth proportional to 30,820.57, 42,532.36 and 16,673.43 is: 23,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.57 : 42,532.36 = 16,673.43 : x
  2. Step 2: Convert to fraction form
    30,820.57/42,532.36 = 16,673.43/x
  3. Step 3: Cross multiply
    30,820.57x = 42,532.36 × 16,673.43
  4. Step 4: Simplify right side
    30,820.57x = 709,160,327.19
  5. Step 5: Solve for x
    x = 709,160,327.19/30,820.57
  6. Step 6: Final answer
    x = 23,009.32

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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.