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Finding the Fourth Proportional to 2,131.34, 2,941.20 and 1,303.34

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Solution

The fourth proportional to 2,131.34, 2,941.20 and 1,303.34 is: 1,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.34 : 2,941.20 = 1,303.34 : x
  2. Step 2: Convert to fraction form
    2,131.34/2,941.20 = 1,303.34/x
  3. Step 3: Cross multiply
    2,131.34x = 2,941.20 × 1,303.34
  4. Step 4: Simplify right side
    2,131.34x = 3,833,368.90
  5. Step 5: Solve for x
    x = 3,833,368.90/2,131.34
  6. Step 6: Final answer
    x = 1,798.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.