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Finding the Fourth Proportional to 9,155.33, 13,730.30 and 4,770.53

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Solution

The fourth proportional to 9,155.33, 13,730.30 and 4,770.53 is: 7,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.33 : 13,730.30 = 4,770.53 : x
  2. Step 2: Convert to fraction form
    9,155.33/13,730.30 = 4,770.53/x
  3. Step 3: Cross multiply
    9,155.33x = 13,730.30 × 4,770.53
  4. Step 4: Simplify right side
    9,155.33x = 65,500,784.21
  5. Step 5: Solve for x
    x = 65,500,784.21/9,155.33
  6. Step 6: Final answer
    x = 7,154.39

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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.