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Finding the Fourth Proportional to 12,989, 19,483.86 and 3,755

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Solution

The fourth proportional to 12,989, 19,483.86 and 3,755 is: 5,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989 : 19,483.86 = 3,755 : x
  2. Step 2: Convert to fraction form
    12,989/19,483.86 = 3,755/x
  3. Step 3: Cross multiply
    12,989x = 19,483.86 × 3,755
  4. Step 4: Simplify right side
    12,989x = 73,161,894.30
  5. Step 5: Solve for x
    x = 73,161,894.30/12,989
  6. Step 6: Final answer
    x = 5,632.60

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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.