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Finding the Fourth Proportional to 6,435.60, 9,647.64 and 3,354

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Solution

The fourth proportional to 6,435.60, 9,647.64 and 3,354 is: 5,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.60 : 9,647.64 = 3,354 : x
  2. Step 2: Convert to fraction form
    6,435.60/9,647.64 = 3,354/x
  3. Step 3: Cross multiply
    6,435.60x = 9,647.64 × 3,354
  4. Step 4: Simplify right side
    6,435.60x = 32,358,184.56
  5. Step 5: Solve for x
    x = 32,358,184.56/6,435.60
  6. Step 6: Final answer
    x = 5,028.00

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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.