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Finding the Fourth Proportional to 9,284, 12,810.32 and 6,138.56

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Solution

The fourth proportional to 9,284, 12,810.32 and 6,138.56 is: 8,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284 : 12,810.32 = 6,138.56 : x
  2. Step 2: Convert to fraction form
    9,284/12,810.32 = 6,138.56/x
  3. Step 3: Cross multiply
    9,284x = 12,810.32 × 6,138.56
  4. Step 4: Simplify right side
    9,284x = 78,636,917.94
  5. Step 5: Solve for x
    x = 78,636,917.94/9,284
  6. Step 6: Final answer
    x = 8,470.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.