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Finding the Fourth Proportional to 7,107.84, 10,661.76 and 6,913.44

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Solution

The fourth proportional to 7,107.84, 10,661.76 and 6,913.44 is: 10,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.84 : 10,661.76 = 6,913.44 : x
  2. Step 2: Convert to fraction form
    7,107.84/10,661.76 = 6,913.44/x
  3. Step 3: Cross multiply
    7,107.84x = 10,661.76 × 6,913.44
  4. Step 4: Simplify right side
    7,107.84x = 73,709,438.05
  5. Step 5: Solve for x
    x = 73,709,438.05/7,107.84
  6. Step 6: Final answer
    x = 10,370.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.