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Finding the Fourth Proportional to 13,410.64, 18,506.46 and 7,745.32

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Solution

The fourth proportional to 13,410.64, 18,506.46 and 7,745.32 is: 10,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.64 : 18,506.46 = 7,745.32 : x
  2. Step 2: Convert to fraction form
    13,410.64/18,506.46 = 7,745.32/x
  3. Step 3: Cross multiply
    13,410.64x = 18,506.46 × 7,745.32
  4. Step 4: Simplify right side
    13,410.64x = 143,338,454.77
  5. Step 5: Solve for x
    x = 143,338,454.77/13,410.64
  6. Step 6: Final answer
    x = 10,688.41

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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.