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Finding the Fourth Proportional to 9,782.55, 13,500 and 7,683.03

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Solution

The fourth proportional to 9,782.55, 13,500 and 7,683.03 is: 10,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.55 : 13,500 = 7,683.03 : x
  2. Step 2: Convert to fraction form
    9,782.55/13,500 = 7,683.03/x
  3. Step 3: Cross multiply
    9,782.55x = 13,500 × 7,683.03
  4. Step 4: Simplify right side
    9,782.55x = 103,720,905
  5. Step 5: Solve for x
    x = 103,720,905/9,782.55
  6. Step 6: Final answer
    x = 10,602.65

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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.