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Finding the Fourth Proportional to 12,185.40, 16,804.14 and 7,406.10

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Solution

The fourth proportional to 12,185.40, 16,804.14 and 7,406.10 is: 10,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.40 : 16,804.14 = 7,406.10 : x
  2. Step 2: Convert to fraction form
    12,185.40/16,804.14 = 7,406.10/x
  3. Step 3: Cross multiply
    12,185.40x = 16,804.14 × 7,406.10
  4. Step 4: Simplify right side
    12,185.40x = 124,453,141.25
  5. Step 5: Solve for x
    x = 124,453,141.25/12,185.40
  6. Step 6: Final answer
    x = 10,213.30

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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.