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Finding the Fourth Proportional to 2,602.70, 3,904.30 and 1,369.34

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Solution

The fourth proportional to 2,602.70, 3,904.30 and 1,369.34 is: 2,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.70 : 3,904.30 = 1,369.34 : x
  2. Step 2: Convert to fraction form
    2,602.70/3,904.30 = 1,369.34/x
  3. Step 3: Cross multiply
    2,602.70x = 3,904.30 × 1,369.34
  4. Step 4: Simplify right side
    2,602.70x = 5,346,314.16
  5. Step 5: Solve for x
    x = 5,346,314.16/2,602.70
  6. Step 6: Final answer
    x = 2,054.14

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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.