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Finding the Fourth Proportional to 6,457.56, 9,677.08 and 3,678.48

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Solution

The fourth proportional to 6,457.56, 9,677.08 and 3,678.48 is: 5,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.56 : 9,677.08 = 3,678.48 : x
  2. Step 2: Convert to fraction form
    6,457.56/9,677.08 = 3,678.48/x
  3. Step 3: Cross multiply
    6,457.56x = 9,677.08 × 3,678.48
  4. Step 4: Simplify right side
    6,457.56x = 35,596,945.24
  5. Step 5: Solve for x
    x = 35,596,945.24/6,457.56
  6. Step 6: Final answer
    x = 5,512.45

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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.