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Finding the Fourth Proportional to 12,813.75, 19,210.53 and 4,914.75

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Solution

The fourth proportional to 12,813.75, 19,210.53 and 4,914.75 is: 7,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.75 : 19,210.53 = 4,914.75 : x
  2. Step 2: Convert to fraction form
    12,813.75/19,210.53 = 4,914.75/x
  3. Step 3: Cross multiply
    12,813.75x = 19,210.53 × 4,914.75
  4. Step 4: Simplify right side
    12,813.75x = 94,414,952.32
  5. Step 5: Solve for x
    x = 94,414,952.32/12,813.75
  6. Step 6: Final answer
    x = 7,368.25

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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.