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Finding the Fourth Proportional to 13,144.80, 18,140.04 and 7,840.08

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Solution

The fourth proportional to 13,144.80, 18,140.04 and 7,840.08 is: 10,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.80 : 18,140.04 = 7,840.08 : x
  2. Step 2: Convert to fraction form
    13,144.80/18,140.04 = 7,840.08/x
  3. Step 3: Cross multiply
    13,144.80x = 18,140.04 × 7,840.08
  4. Step 4: Simplify right side
    13,144.80x = 142,219,364.80
  5. Step 5: Solve for x
    x = 142,219,364.80/13,144.80
  6. Step 6: Final answer
    x = 10,819.44

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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.