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Finding the Fourth Proportional to 12,866.10, 17,751.60 and 7,558.98

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Solution

The fourth proportional to 12,866.10, 17,751.60 and 7,558.98 is: 10,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.10 : 17,751.60 = 7,558.98 : x
  2. Step 2: Convert to fraction form
    12,866.10/17,751.60 = 7,558.98/x
  3. Step 3: Cross multiply
    12,866.10x = 17,751.60 × 7,558.98
  4. Step 4: Simplify right side
    12,866.10x = 134,183,989.37
  5. Step 5: Solve for x
    x = 134,183,989.37/12,866.10
  6. Step 6: Final answer
    x = 10,429.27

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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.