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Finding the Fourth Proportional to 6,783.68, 9,339.72 and 5,289.68

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Solution

The fourth proportional to 6,783.68, 9,339.72 and 5,289.68 is: 7,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.68 : 9,339.72 = 5,289.68 : x
  2. Step 2: Convert to fraction form
    6,783.68/9,339.72 = 5,289.68/x
  3. Step 3: Cross multiply
    6,783.68x = 9,339.72 × 5,289.68
  4. Step 4: Simplify right side
    6,783.68x = 49,404,130.09
  5. Step 5: Solve for x
    x = 49,404,130.09/6,783.68
  6. Step 6: Final answer
    x = 7,282.79

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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.