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Finding the Fourth Proportional to 9,688.41, 13,365 and 6,147.90

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Solution

The fourth proportional to 9,688.41, 13,365 and 6,147.90 is: 8,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.41 : 13,365 = 6,147.90 : x
  2. Step 2: Convert to fraction form
    9,688.41/13,365 = 6,147.90/x
  3. Step 3: Cross multiply
    9,688.41x = 13,365 × 6,147.90
  4. Step 4: Simplify right side
    9,688.41x = 82,166,683.50
  5. Step 5: Solve for x
    x = 82,166,683.50/9,688.41
  6. Step 6: Final answer
    x = 8,480.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.