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Finding the Fourth Proportional to 9,510.41, 13,123.62 and 5,260.75

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Solution

The fourth proportional to 9,510.41, 13,123.62 and 5,260.75 is: 7,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.41 : 13,123.62 = 5,260.75 : x
  2. Step 2: Convert to fraction form
    9,510.41/13,123.62 = 5,260.75/x
  3. Step 3: Cross multiply
    9,510.41x = 13,123.62 × 5,260.75
  4. Step 4: Simplify right side
    9,510.41x = 69,040,051.11
  5. Step 5: Solve for x
    x = 69,040,051.11/9,510.41
  6. Step 6: Final answer
    x = 7,259.42

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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.