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Finding the Fourth Proportional to 9,353.92, 14,030.92 and 2,780.16

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Solution

The fourth proportional to 9,353.92, 14,030.92 and 2,780.16 is: 4,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.92 : 14,030.92 = 2,780.16 : x
  2. Step 2: Convert to fraction form
    9,353.92/14,030.92 = 2,780.16/x
  3. Step 3: Cross multiply
    9,353.92x = 14,030.92 × 2,780.16
  4. Step 4: Simplify right side
    9,353.92x = 39,008,202.55
  5. Step 5: Solve for x
    x = 39,008,202.55/9,353.92
  6. Step 6: Final answer
    x = 4,170.25

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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.