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Finding the Fourth Proportional to 11,423.30, 15,765.98 and 6,707.54

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Solution

The fourth proportional to 11,423.30, 15,765.98 and 6,707.54 is: 9,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.30 : 15,765.98 = 6,707.54 : x
  2. Step 2: Convert to fraction form
    11,423.30/15,765.98 = 6,707.54/x
  3. Step 3: Cross multiply
    11,423.30x = 15,765.98 × 6,707.54
  4. Step 4: Simplify right side
    11,423.30x = 105,750,947.37
  5. Step 5: Solve for x
    x = 105,750,947.37/11,423.30
  6. Step 6: Final answer
    x = 9,257.48

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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.