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Finding the Fourth Proportional to 12,894.60, 19,370.70 and 9,006.60

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Solution

The fourth proportional to 12,894.60, 19,370.70 and 9,006.60 is: 13,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.60 : 19,370.70 = 9,006.60 : x
  2. Step 2: Convert to fraction form
    12,894.60/19,370.70 = 9,006.60/x
  3. Step 3: Cross multiply
    12,894.60x = 19,370.70 × 9,006.60
  4. Step 4: Simplify right side
    12,894.60x = 174,464,146.62
  5. Step 5: Solve for x
    x = 174,464,146.62/12,894.60
  6. Step 6: Final answer
    x = 13,530.02

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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.