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Finding the Fourth Proportional to 12,669, 19,003.86 and 3,435

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Solution

The fourth proportional to 12,669, 19,003.86 and 3,435 is: 5,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669 : 19,003.86 = 3,435 : x
  2. Step 2: Convert to fraction form
    12,669/19,003.86 = 3,435/x
  3. Step 3: Cross multiply
    12,669x = 19,003.86 × 3,435
  4. Step 4: Simplify right side
    12,669x = 65,278,259.10
  5. Step 5: Solve for x
    x = 65,278,259.10/12,669
  6. Step 6: Final answer
    x = 5,152.60

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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.