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Finding the Fourth Proportional to 3,698.95, 5,549.50 and 1,390.63

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Solution

The fourth proportional to 3,698.95, 5,549.50 and 1,390.63 is: 2,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.95 : 5,549.50 = 1,390.63 : x
  2. Step 2: Convert to fraction form
    3,698.95/5,549.50 = 1,390.63/x
  3. Step 3: Cross multiply
    3,698.95x = 5,549.50 × 1,390.63
  4. Step 4: Simplify right side
    3,698.95x = 7,717,301.19
  5. Step 5: Solve for x
    x = 7,717,301.19/3,698.95
  6. Step 6: Final answer
    x = 2,086.35

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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.