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Finding the Fourth Proportional to 6,865.86, 10,313.36 and 6,465.94

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Solution

The fourth proportional to 6,865.86, 10,313.36 and 6,465.94 is: 9,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.86 : 10,313.36 = 6,465.94 : x
  2. Step 2: Convert to fraction form
    6,865.86/10,313.36 = 6,465.94/x
  3. Step 3: Cross multiply
    6,865.86x = 10,313.36 × 6,465.94
  4. Step 4: Simplify right side
    6,865.86x = 66,685,566.96
  5. Step 5: Solve for x
    x = 66,685,566.96/6,865.86
  6. Step 6: Final answer
    x = 9,712.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.