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Finding the Fourth Proportional to 6,493.76, 8,942.54 and 5,642.64

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Solution

The fourth proportional to 6,493.76, 8,942.54 and 5,642.64 is: 7,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.76 : 8,942.54 = 5,642.64 : x
  2. Step 2: Convert to fraction form
    6,493.76/8,942.54 = 5,642.64/x
  3. Step 3: Cross multiply
    6,493.76x = 8,942.54 × 5,642.64
  4. Step 4: Simplify right side
    6,493.76x = 50,459,533.91
  5. Step 5: Solve for x
    x = 50,459,533.91/6,493.76
  6. Step 6: Final answer
    x = 7,770.46

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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.