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Finding the Fourth Proportional to 9,230.78, 13,855.40 and 4,857.46

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Solution

The fourth proportional to 9,230.78, 13,855.40 and 4,857.46 is: 7,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.78 : 13,855.40 = 4,857.46 : x
  2. Step 2: Convert to fraction form
    9,230.78/13,855.40 = 4,857.46/x
  3. Step 3: Cross multiply
    9,230.78x = 13,855.40 × 4,857.46
  4. Step 4: Simplify right side
    9,230.78x = 67,302,051.28
  5. Step 5: Solve for x
    x = 67,302,051.28/9,230.78
  6. Step 6: Final answer
    x = 7,291.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.