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Finding the Fourth Proportional to 29,695.72, 40,986.66 and 20,749

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Solution

The fourth proportional to 29,695.72, 40,986.66 and 20,749 is: 28,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,695.72 : 40,986.66 = 20,749 : x
  2. Step 2: Convert to fraction form
    29,695.72/40,986.66 = 20,749/x
  3. Step 3: Cross multiply
    29,695.72x = 40,986.66 × 20,749
  4. Step 4: Simplify right side
    29,695.72x = 850,432,208.34
  5. Step 5: Solve for x
    x = 850,432,208.34/29,695.72
  6. Step 6: Final answer
    x = 28,638.21

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1.5x scale

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.