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Finding the Fourth Proportional to 7,707.74, 11,603.61 and 5,257.99

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Solution

The fourth proportional to 7,707.74, 11,603.61 and 5,257.99 is: 7,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.74 : 11,603.61 = 5,257.99 : x
  2. Step 2: Convert to fraction form
    7,707.74/11,603.61 = 5,257.99/x
  3. Step 3: Cross multiply
    7,707.74x = 11,603.61 × 5,257.99
  4. Step 4: Simplify right side
    7,707.74x = 61,011,665.34
  5. Step 5: Solve for x
    x = 61,011,665.34/7,707.74
  6. Step 6: Final answer
    x = 7,915.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.