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Finding the Fourth Proportional to 2,402, 3,314.76 and 1,298

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Solution

The fourth proportional to 2,402, 3,314.76 and 1,298 is: 1,791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402 : 3,314.76 = 1,298 : x
  2. Step 2: Convert to fraction form
    2,402/3,314.76 = 1,298/x
  3. Step 3: Cross multiply
    2,402x = 3,314.76 × 1,298
  4. Step 4: Simplify right side
    2,402x = 4,302,558.48
  5. Step 5: Solve for x
    x = 4,302,558.48/2,402
  6. Step 6: Final answer
    x = 1,791.24

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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.