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Finding the Fourth Proportional to 2,393.64, 3,590.64 and 1,907.28

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Solution

The fourth proportional to 2,393.64, 3,590.64 and 1,907.28 is: 2,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.64 : 3,590.64 = 1,907.28 : x
  2. Step 2: Convert to fraction form
    2,393.64/3,590.64 = 1,907.28/x
  3. Step 3: Cross multiply
    2,393.64x = 3,590.64 × 1,907.28
  4. Step 4: Simplify right side
    2,393.64x = 6,848,355.86
  5. Step 5: Solve for x
    x = 6,848,355.86/2,393.64
  6. Step 6: Final answer
    x = 2,861.06

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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.