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Finding the Fourth Proportional to 13,494.53, 18,619.46 and 7,830.23

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Solution

The fourth proportional to 13,494.53, 18,619.46 and 7,830.23 is: 10,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.53 : 18,619.46 = 7,830.23 : x
  2. Step 2: Convert to fraction form
    13,494.53/18,619.46 = 7,830.23/x
  3. Step 3: Cross multiply
    13,494.53x = 18,619.46 × 7,830.23
  4. Step 4: Simplify right side
    13,494.53x = 145,794,615.12
  5. Step 5: Solve for x
    x = 145,794,615.12/13,494.53
  6. Step 6: Final answer
    x = 10,803.98

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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.