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Finding the Fourth Proportional to 12,683.36, 17,510.08 and 7,648.85

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Solution

The fourth proportional to 12,683.36, 17,510.08 and 7,648.85 is: 10,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.36 : 17,510.08 = 7,648.85 : x
  2. Step 2: Convert to fraction form
    12,683.36/17,510.08 = 7,648.85/x
  3. Step 3: Cross multiply
    12,683.36x = 17,510.08 × 7,648.85
  4. Step 4: Simplify right side
    12,683.36x = 133,932,000.06
  5. Step 5: Solve for x
    x = 133,932,000.06/12,683.36
  6. Step 6: Final answer
    x = 10,559.66

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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.