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Finding the Fourth Proportional to 7,703.72, 11,554.68 and 2,157.50

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Solution

The fourth proportional to 7,703.72, 11,554.68 and 2,157.50 is: 3,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.72 : 11,554.68 = 2,157.50 : x
  2. Step 2: Convert to fraction form
    7,703.72/11,554.68 = 2,157.50/x
  3. Step 3: Cross multiply
    7,703.72x = 11,554.68 × 2,157.50
  4. Step 4: Simplify right side
    7,703.72x = 24,929,250.99
  5. Step 5: Solve for x
    x = 24,929,250.99/7,703.72
  6. Step 6: Final answer
    x = 3,236.00

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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.