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Finding the Fourth Proportional to 6,471.76, 8,935.32 and 4,976.92

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Solution

The fourth proportional to 6,471.76, 8,935.32 and 4,976.92 is: 6,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.76 : 8,935.32 = 4,976.92 : x
  2. Step 2: Convert to fraction form
    6,471.76/8,935.32 = 4,976.92/x
  3. Step 3: Cross multiply
    6,471.76x = 8,935.32 × 4,976.92
  4. Step 4: Simplify right side
    6,471.76x = 44,470,372.81
  5. Step 5: Solve for x
    x = 44,470,372.81/6,471.76
  6. Step 6: Final answer
    x = 6,871.45

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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.