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Finding the Fourth Proportional to 12,535.80, 18,804.26 and 6,984.94

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Solution

The fourth proportional to 12,535.80, 18,804.26 and 6,984.94 is: 10,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.80 : 18,804.26 = 6,984.94 : x
  2. Step 2: Convert to fraction form
    12,535.80/18,804.26 = 6,984.94/x
  3. Step 3: Cross multiply
    12,535.80x = 18,804.26 × 6,984.94
  4. Step 4: Simplify right side
    12,535.80x = 131,346,627.84
  5. Step 5: Solve for x
    x = 131,346,627.84/12,535.80
  6. Step 6: Final answer
    x = 10,477.72

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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.