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Finding the Fourth Proportional to 12,685.44, 19,026 and 4,894.32

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Solution

The fourth proportional to 12,685.44, 19,026 and 4,894.32 is: 7,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.44 : 19,026 = 4,894.32 : x
  2. Step 2: Convert to fraction form
    12,685.44/19,026 = 4,894.32/x
  3. Step 3: Cross multiply
    12,685.44x = 19,026 × 4,894.32
  4. Step 4: Simplify right side
    12,685.44x = 93,119,332.32
  5. Step 5: Solve for x
    x = 93,119,332.32/12,685.44
  6. Step 6: Final answer
    x = 7,340.65

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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.