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Finding the Fourth Proportional to 9,783.21, 13,500.74 and 5,306.94

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Solution

The fourth proportional to 9,783.21, 13,500.74 and 5,306.94 is: 7,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.21 : 13,500.74 = 5,306.94 : x
  2. Step 2: Convert to fraction form
    9,783.21/13,500.74 = 5,306.94/x
  3. Step 3: Cross multiply
    9,783.21x = 13,500.74 × 5,306.94
  4. Step 4: Simplify right side
    9,783.21x = 71,647,590.60
  5. Step 5: Solve for x
    x = 71,647,590.60/9,783.21
  6. Step 6: Final answer
    x = 7,323.53

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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.