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Finding the Fourth Proportional to 5,070.44, 7,606.56 and 1,785.44

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Solution

The fourth proportional to 5,070.44, 7,606.56 and 1,785.44 is: 2,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.44 : 7,606.56 = 1,785.44 : x
  2. Step 2: Convert to fraction form
    5,070.44/7,606.56 = 1,785.44/x
  3. Step 3: Cross multiply
    5,070.44x = 7,606.56 × 1,785.44
  4. Step 4: Simplify right side
    5,070.44x = 13,581,056.49
  5. Step 5: Solve for x
    x = 13,581,056.49/5,070.44
  6. Step 6: Final answer
    x = 2,678.48

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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.