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Finding the Fourth Proportional to 2,803, 3,868.26 and 1,561

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Solution

The fourth proportional to 2,803, 3,868.26 and 1,561 is: 2,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803 : 3,868.26 = 1,561 : x
  2. Step 2: Convert to fraction form
    2,803/3,868.26 = 1,561/x
  3. Step 3: Cross multiply
    2,803x = 3,868.26 × 1,561
  4. Step 4: Simplify right side
    2,803x = 6,038,353.86
  5. Step 5: Solve for x
    x = 6,038,353.86/2,803
  6. Step 6: Final answer
    x = 2,154.25

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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.