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Finding the Fourth Proportional to 9,280.94, 12,800.64 and 7,989.60

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Solution

The fourth proportional to 9,280.94, 12,800.64 and 7,989.60 is: 11,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.94 : 12,800.64 = 7,989.60 : x
  2. Step 2: Convert to fraction form
    9,280.94/12,800.64 = 7,989.60/x
  3. Step 3: Cross multiply
    9,280.94x = 12,800.64 × 7,989.60
  4. Step 4: Simplify right side
    9,280.94x = 102,271,993.34
  5. Step 5: Solve for x
    x = 102,271,993.34/9,280.94
  6. Step 6: Final answer
    x = 11,019.57

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1.5x scale

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.