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Finding the Fourth Proportional to 2,038.16, 3,057.24 and 577.20

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Solution

The fourth proportional to 2,038.16, 3,057.24 and 577.20 is: 865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.16 : 3,057.24 = 577.20 : x
  2. Step 2: Convert to fraction form
    2,038.16/3,057.24 = 577.20/x
  3. Step 3: Cross multiply
    2,038.16x = 3,057.24 × 577.20
  4. Step 4: Simplify right side
    2,038.16x = 1,764,638.93
  5. Step 5: Solve for x
    x = 1,764,638.93/2,038.16
  6. Step 6: Final answer
    x = 865.80

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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.