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Finding the Fourth Proportional to 3,038.37, 4,192.87 and 1,712

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Solution

The fourth proportional to 3,038.37, 4,192.87 and 1,712 is: 2,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.37 : 4,192.87 = 1,712 : x
  2. Step 2: Convert to fraction form
    3,038.37/4,192.87 = 1,712/x
  3. Step 3: Cross multiply
    3,038.37x = 4,192.87 × 1,712
  4. Step 4: Simplify right side
    3,038.37x = 7,178,193.44
  5. Step 5: Solve for x
    x = 7,178,193.44/3,038.37
  6. Step 6: Final answer
    x = 2,362.51

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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.