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Finding the Fourth Proportional to 8,983.83, 12,394.32 and 8,970

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Solution

The fourth proportional to 8,983.83, 12,394.32 and 8,970 is: 12,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.83 : 12,394.32 = 8,970 : x
  2. Step 2: Convert to fraction form
    8,983.83/12,394.32 = 8,970/x
  3. Step 3: Cross multiply
    8,983.83x = 12,394.32 × 8,970
  4. Step 4: Simplify right side
    8,983.83x = 111,177,050.40
  5. Step 5: Solve for x
    x = 111,177,050.40/8,983.83
  6. Step 6: Final answer
    x = 12,375.24

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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.