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Finding the Fourth Proportional to 6,222, 9,333.54 and 1,605

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Solution

The fourth proportional to 6,222, 9,333.54 and 1,605 is: 2,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222 : 9,333.54 = 1,605 : x
  2. Step 2: Convert to fraction form
    6,222/9,333.54 = 1,605/x
  3. Step 3: Cross multiply
    6,222x = 9,333.54 × 1,605
  4. Step 4: Simplify right side
    6,222x = 14,980,331.70
  5. Step 5: Solve for x
    x = 14,980,331.70/6,222
  6. Step 6: Final answer
    x = 2,407.64

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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.