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Finding the Fourth Proportional to 9,770.88, 13,483.50 and 5,522.10

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Solution

The fourth proportional to 9,770.88, 13,483.50 and 5,522.10 is: 7,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.88 : 13,483.50 = 5,522.10 : x
  2. Step 2: Convert to fraction form
    9,770.88/13,483.50 = 5,522.10/x
  3. Step 3: Cross multiply
    9,770.88x = 13,483.50 × 5,522.10
  4. Step 4: Simplify right side
    9,770.88x = 74,457,235.35
  5. Step 5: Solve for x
    x = 74,457,235.35/9,770.88
  6. Step 6: Final answer
    x = 7,620.32

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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.