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Finding the Fourth Proportional to 9,321.58, 12,863.19 and 5,783.50

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Solution

The fourth proportional to 9,321.58, 12,863.19 and 5,783.50 is: 7,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.58 : 12,863.19 = 5,783.50 : x
  2. Step 2: Convert to fraction form
    9,321.58/12,863.19 = 5,783.50/x
  3. Step 3: Cross multiply
    9,321.58x = 12,863.19 × 5,783.50
  4. Step 4: Simplify right side
    9,321.58x = 74,394,259.37
  5. Step 5: Solve for x
    x = 74,394,259.37/9,321.58
  6. Step 6: Final answer
    x = 7,980.86

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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.