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Finding the Fourth Proportional to 9,420, 14,136.48 and 3,264

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Solution

The fourth proportional to 9,420, 14,136.48 and 3,264 is: 4,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420 : 14,136.48 = 3,264 : x
  2. Step 2: Convert to fraction form
    9,420/14,136.48 = 3,264/x
  3. Step 3: Cross multiply
    9,420x = 14,136.48 × 3,264
  4. Step 4: Simplify right side
    9,420x = 46,141,470.72
  5. Step 5: Solve for x
    x = 46,141,470.72/9,420
  6. Step 6: Final answer
    x = 4,898.25

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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.