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Finding the Fourth Proportional to 30,693.54, 46,040.31 and 20,302.86

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Solution

The fourth proportional to 30,693.54, 46,040.31 and 20,302.86 is: 30,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.54 : 46,040.31 = 20,302.86 : x
  2. Step 2: Convert to fraction form
    30,693.54/46,040.31 = 20,302.86/x
  3. Step 3: Cross multiply
    30,693.54x = 46,040.31 × 20,302.86
  4. Step 4: Simplify right side
    30,693.54x = 934,749,968.29
  5. Step 5: Solve for x
    x = 934,749,968.29/30,693.54
  6. Step 6: Final answer
    x = 30,454.29

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1.5x scale

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.