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Finding the Fourth Proportional to 5,308.50, 7,963.08 and 1,412.82

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Solution

The fourth proportional to 5,308.50, 7,963.08 and 1,412.82 is: 2,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.50 : 7,963.08 = 1,412.82 : x
  2. Step 2: Convert to fraction form
    5,308.50/7,963.08 = 1,412.82/x
  3. Step 3: Cross multiply
    5,308.50x = 7,963.08 × 1,412.82
  4. Step 4: Simplify right side
    5,308.50x = 11,250,398.69
  5. Step 5: Solve for x
    x = 11,250,398.69/5,308.50
  6. Step 6: Final answer
    x = 2,119.32

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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.