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Finding the Fourth Proportional to 45,840, 68,771.52 and 13,008

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Solution

The fourth proportional to 45,840, 68,771.52 and 13,008 is: 19,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,840 : 68,771.52 = 13,008 : x
  2. Step 2: Convert to fraction form
    45,840/68,771.52 = 13,008/x
  3. Step 3: Cross multiply
    45,840x = 68,771.52 × 13,008
  4. Step 4: Simplify right side
    45,840x = 894,579,932.16
  5. Step 5: Solve for x
    x = 894,579,932.16/45,840
  6. Step 6: Final answer
    x = 19,515.27

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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.