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Finding the Fourth Proportional to 6,447.64, 9,670.74 and 1,830.52

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Solution

The fourth proportional to 6,447.64, 9,670.74 and 1,830.52 is: 2,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.64 : 9,670.74 = 1,830.52 : x
  2. Step 2: Convert to fraction form
    6,447.64/9,670.74 = 1,830.52/x
  3. Step 3: Cross multiply
    6,447.64x = 9,670.74 × 1,830.52
  4. Step 4: Simplify right side
    6,447.64x = 17,702,482.98
  5. Step 5: Solve for x
    x = 17,702,482.98/6,447.64
  6. Step 6: Final answer
    x = 2,745.58

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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.