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Finding the Fourth Proportional to 30,122.36, 45,188.40 and 9,341

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Solution

The fourth proportional to 30,122.36, 45,188.40 and 9,341 is: 14,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.36 : 45,188.40 = 9,341 : x
  2. Step 2: Convert to fraction form
    30,122.36/45,188.40 = 9,341/x
  3. Step 3: Cross multiply
    30,122.36x = 45,188.40 × 9,341
  4. Step 4: Simplify right side
    30,122.36x = 422,104,844.40
  5. Step 5: Solve for x
    x = 422,104,844.40/30,122.36
  6. Step 6: Final answer
    x = 14,013.01

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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.