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Finding the Fourth Proportional to 13,007.85, 17,950.90 and 7,342.84

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Solution

The fourth proportional to 13,007.85, 17,950.90 and 7,342.84 is: 10,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.85 : 17,950.90 = 7,342.84 : x
  2. Step 2: Convert to fraction form
    13,007.85/17,950.90 = 7,342.84/x
  3. Step 3: Cross multiply
    13,007.85x = 17,950.90 × 7,342.84
  4. Step 4: Simplify right side
    13,007.85x = 131,810,586.56
  5. Step 5: Solve for x
    x = 131,810,586.56/13,007.85
  6. Step 6: Final answer
    x = 10,133.16

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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.