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Finding the Fourth Proportional to 20,640.42, 30,960.54 and 5,058

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Solution

The fourth proportional to 20,640.42, 30,960.54 and 5,058 is: 7,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.42 : 30,960.54 = 5,058 : x
  2. Step 2: Convert to fraction form
    20,640.42/30,960.54 = 5,058/x
  3. Step 3: Cross multiply
    20,640.42x = 30,960.54 × 5,058
  4. Step 4: Simplify right side
    20,640.42x = 156,598,411.32
  5. Step 5: Solve for x
    x = 156,598,411.32/20,640.42
  6. Step 6: Final answer
    x = 7,586.98

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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.