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Finding the Fourth Proportional to 12,648.99, 18,970.22 and 3,762.01

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Solution

The fourth proportional to 12,648.99, 18,970.22 and 3,762.01 is: 5,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.99 : 18,970.22 = 3,762.01 : x
  2. Step 2: Convert to fraction form
    12,648.99/18,970.22 = 3,762.01/x
  3. Step 3: Cross multiply
    12,648.99x = 18,970.22 × 3,762.01
  4. Step 4: Simplify right side
    12,648.99x = 71,366,157.34
  5. Step 5: Solve for x
    x = 71,366,157.34/12,648.99
  6. Step 6: Final answer
    x = 5,642.04

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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.