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Finding the Fourth Proportional to 12,405.12, 17,114.88 and 7,368

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Solution

The fourth proportional to 12,405.12, 17,114.88 and 7,368 is: 10,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.12 : 17,114.88 = 7,368 : x
  2. Step 2: Convert to fraction form
    12,405.12/17,114.88 = 7,368/x
  3. Step 3: Cross multiply
    12,405.12x = 17,114.88 × 7,368
  4. Step 4: Simplify right side
    12,405.12x = 126,102,435.84
  5. Step 5: Solve for x
    x = 126,102,435.84/12,405.12
  6. Step 6: Final answer
    x = 10,165.35

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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.