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Finding the Fourth Proportional to 8,964, 13,356.90 and 7,982.55

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Solution

The fourth proportional to 8,964, 13,356.90 and 7,982.55 is: 11,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964 : 13,356.90 = 7,982.55 : x
  2. Step 2: Convert to fraction form
    8,964/13,356.90 = 7,982.55/x
  3. Step 3: Cross multiply
    8,964x = 13,356.90 × 7,982.55
  4. Step 4: Simplify right side
    8,964x = 106,622,122.10
  5. Step 5: Solve for x
    x = 106,622,122.10/8,964
  6. Step 6: Final answer
    x = 11,894.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.