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Finding the Fourth Proportional to 6,856.89, 9,455.43 and 5,865.45

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Solution

The fourth proportional to 6,856.89, 9,455.43 and 5,865.45 is: 8,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.89 : 9,455.43 = 5,865.45 : x
  2. Step 2: Convert to fraction form
    6,856.89/9,455.43 = 5,865.45/x
  3. Step 3: Cross multiply
    6,856.89x = 9,455.43 × 5,865.45
  4. Step 4: Simplify right side
    6,856.89x = 55,460,351.89
  5. Step 5: Solve for x
    x = 55,460,351.89/6,856.89
  6. Step 6: Final answer
    x = 8,088.27

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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.