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Finding the Fourth Proportional to 12,807.25, 19,206.25 and 5,412.28

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Solution

The fourth proportional to 12,807.25, 19,206.25 and 5,412.28 is: 8,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.25 : 19,206.25 = 5,412.28 : x
  2. Step 2: Convert to fraction form
    12,807.25/19,206.25 = 5,412.28/x
  3. Step 3: Cross multiply
    12,807.25x = 19,206.25 × 5,412.28
  4. Step 4: Simplify right side
    12,807.25x = 103,949,554.73
  5. Step 5: Solve for x
    x = 103,949,554.73/12,807.25
  6. Step 6: Final answer
    x = 8,116.46

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1.5x scale

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.