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Finding the Fourth Proportional to 9,420, 14,130 and 2,494.50

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Solution

The fourth proportional to 9,420, 14,130 and 2,494.50 is: 3,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420 : 14,130 = 2,494.50 : x
  2. Step 2: Convert to fraction form
    9,420/14,130 = 2,494.50/x
  3. Step 3: Cross multiply
    9,420x = 14,130 × 2,494.50
  4. Step 4: Simplify right side
    9,420x = 35,247,285
  5. Step 5: Solve for x
    x = 35,247,285/9,420
  6. Step 6: Final answer
    x = 3,741.75

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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.