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Finding the Fourth Proportional to 2,156.96, 3,235.46 and 1,388

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Solution

The fourth proportional to 2,156.96, 3,235.46 and 1,388 is: 2,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.96 : 3,235.46 = 1,388 : x
  2. Step 2: Convert to fraction form
    2,156.96/3,235.46 = 1,388/x
  3. Step 3: Cross multiply
    2,156.96x = 3,235.46 × 1,388
  4. Step 4: Simplify right side
    2,156.96x = 4,490,818.48
  5. Step 5: Solve for x
    x = 4,490,818.48/2,156.96
  6. Step 6: Final answer
    x = 2,082.01

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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.