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Finding the Fourth Proportional to 6,969.60, 9,622.80 and 4,874.40

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Solution

The fourth proportional to 6,969.60, 9,622.80 and 4,874.40 is: 6,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.60 : 9,622.80 = 4,874.40 : x
  2. Step 2: Convert to fraction form
    6,969.60/9,622.80 = 4,874.40/x
  3. Step 3: Cross multiply
    6,969.60x = 9,622.80 × 4,874.40
  4. Step 4: Simplify right side
    6,969.60x = 46,905,376.32
  5. Step 5: Solve for x
    x = 46,905,376.32/6,969.60
  6. Step 6: Final answer
    x = 6,730.00

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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.