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Finding the Fourth Proportional to 2,038.34, 3,057.56 and 577.46

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Solution

The fourth proportional to 2,038.34, 3,057.56 and 577.46 is: 866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.34 : 3,057.56 = 577.46 : x
  2. Step 2: Convert to fraction form
    2,038.34/3,057.56 = 577.46/x
  3. Step 3: Cross multiply
    2,038.34x = 3,057.56 × 577.46
  4. Step 4: Simplify right side
    2,038.34x = 1,765,618.60
  5. Step 5: Solve for x
    x = 1,765,618.60/2,038.34
  6. Step 6: Final answer
    x = 866.20

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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.