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Finding the Fourth Proportional to 7,199.84, 10,783.01 and 6,950.40

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Solution

The fourth proportional to 7,199.84, 10,783.01 and 6,950.40 is: 10,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.84 : 10,783.01 = 6,950.40 : x
  2. Step 2: Convert to fraction form
    7,199.84/10,783.01 = 6,950.40/x
  3. Step 3: Cross multiply
    7,199.84x = 10,783.01 × 6,950.40
  4. Step 4: Simplify right side
    7,199.84x = 74,946,197.95
  5. Step 5: Solve for x
    x = 74,946,197.95/7,199.84
  6. Step 6: Final answer
    x = 10,409.43

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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.