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Finding the Fourth Proportional to 12,348.03, 18,522 and 4,140.03

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Solution

The fourth proportional to 12,348.03, 18,522 and 4,140.03 is: 6,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.03 : 18,522 = 4,140.03 : x
  2. Step 2: Convert to fraction form
    12,348.03/18,522 = 4,140.03/x
  3. Step 3: Cross multiply
    12,348.03x = 18,522 × 4,140.03
  4. Step 4: Simplify right side
    12,348.03x = 76,681,635.66
  5. Step 5: Solve for x
    x = 76,681,635.66/12,348.03
  6. Step 6: Final answer
    x = 6,210.03

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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.