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Finding the Fourth Proportional to 13,014, 19,521 and 3,153.24

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Solution

The fourth proportional to 13,014, 19,521 and 3,153.24 is: 4,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014 : 19,521 = 3,153.24 : x
  2. Step 2: Convert to fraction form
    13,014/19,521 = 3,153.24/x
  3. Step 3: Cross multiply
    13,014x = 19,521 × 3,153.24
  4. Step 4: Simplify right side
    13,014x = 61,554,398.04
  5. Step 5: Solve for x
    x = 61,554,398.04/13,014
  6. Step 6: Final answer
    x = 4,729.86

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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.