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Finding the Fourth Proportional to 30,858.70, 42,587.50 and 17,433.22

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Solution

The fourth proportional to 30,858.70, 42,587.50 and 17,433.22 is: 24,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.70 : 42,587.50 = 17,433.22 : x
  2. Step 2: Convert to fraction form
    30,858.70/42,587.50 = 17,433.22/x
  3. Step 3: Cross multiply
    30,858.70x = 42,587.50 × 17,433.22
  4. Step 4: Simplify right side
    30,858.70x = 742,437,256.75
  5. Step 5: Solve for x
    x = 742,437,256.75/30,858.70
  6. Step 6: Final answer
    x = 24,059.25

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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.