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Finding the Fourth Proportional to 30,418.70, 45,629.66 and 9,643.82

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Solution

The fourth proportional to 30,418.70, 45,629.66 and 9,643.82 is: 14,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.70 : 45,629.66 = 9,643.82 : x
  2. Step 2: Convert to fraction form
    30,418.70/45,629.66 = 9,643.82/x
  3. Step 3: Cross multiply
    30,418.70x = 45,629.66 × 9,643.82
  4. Step 4: Simplify right side
    30,418.70x = 440,044,227.70
  5. Step 5: Solve for x
    x = 440,044,227.70/30,418.70
  6. Step 6: Final answer
    x = 14,466.24

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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.