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Finding the Fourth Proportional to 9,778.94, 13,494.87 and 5,302.69

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Solution

The fourth proportional to 9,778.94, 13,494.87 and 5,302.69 is: 7,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.94 : 13,494.87 = 5,302.69 : x
  2. Step 2: Convert to fraction form
    9,778.94/13,494.87 = 5,302.69/x
  3. Step 3: Cross multiply
    9,778.94x = 13,494.87 × 5,302.69
  4. Step 4: Simplify right side
    9,778.94x = 71,559,058.58
  5. Step 5: Solve for x
    x = 71,559,058.58/9,778.94
  6. Step 6: Final answer
    x = 7,317.67

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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.