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Finding the Fourth Proportional to 5,215.92, 7,783.07 and 4,663.50

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Solution

The fourth proportional to 5,215.92, 7,783.07 and 4,663.50 is: 6,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.92 : 7,783.07 = 4,663.50 : x
  2. Step 2: Convert to fraction form
    5,215.92/7,783.07 = 4,663.50/x
  3. Step 3: Cross multiply
    5,215.92x = 7,783.07 × 4,663.50
  4. Step 4: Simplify right side
    5,215.92x = 36,296,323.63
  5. Step 5: Solve for x
    x = 36,296,323.63/5,215.92
  6. Step 6: Final answer
    x = 6,958.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.