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Finding the Fourth Proportional to 6,405.42, 8,837.44 and 5,056.78

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Solution

The fourth proportional to 6,405.42, 8,837.44 and 5,056.78 is: 6,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.42 : 8,837.44 = 5,056.78 : x
  2. Step 2: Convert to fraction form
    6,405.42/8,837.44 = 5,056.78/x
  3. Step 3: Cross multiply
    6,405.42x = 8,837.44 × 5,056.78
  4. Step 4: Simplify right side
    6,405.42x = 44,688,989.84
  5. Step 5: Solve for x
    x = 44,688,989.84/6,405.42
  6. Step 6: Final answer
    x = 6,976.75

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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.