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Finding the Fourth Proportional to 9,783.50, 13,501.25 and 5,591.74

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Solution

The fourth proportional to 9,783.50, 13,501.25 and 5,591.74 is: 7,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.50 : 13,501.25 = 5,591.74 : x
  2. Step 2: Convert to fraction form
    9,783.50/13,501.25 = 5,591.74/x
  3. Step 3: Cross multiply
    9,783.50x = 13,501.25 × 5,591.74
  4. Step 4: Simplify right side
    9,783.50x = 75,495,479.68
  5. Step 5: Solve for x
    x = 75,495,479.68/9,783.50
  6. Step 6: Final answer
    x = 7,716.61

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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.