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Finding the Fourth Proportional to 2,364.96, 3,546.96 and 1,390.32

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Solution

The fourth proportional to 2,364.96, 3,546.96 and 1,390.32 is: 2,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.96 : 3,546.96 = 1,390.32 : x
  2. Step 2: Convert to fraction form
    2,364.96/3,546.96 = 1,390.32/x
  3. Step 3: Cross multiply
    2,364.96x = 3,546.96 × 1,390.32
  4. Step 4: Simplify right side
    2,364.96x = 4,931,409.43
  5. Step 5: Solve for x
    x = 4,931,409.43/2,364.96
  6. Step 6: Final answer
    x = 2,085.20

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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.