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Finding the Fourth Proportional to 12,987.40, 19,489.10 and 5,195.40

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Solution

The fourth proportional to 12,987.40, 19,489.10 and 5,195.40 is: 7,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.40 : 19,489.10 = 5,195.40 : x
  2. Step 2: Convert to fraction form
    12,987.40/19,489.10 = 5,195.40/x
  3. Step 3: Cross multiply
    12,987.40x = 19,489.10 × 5,195.40
  4. Step 4: Simplify right side
    12,987.40x = 101,253,670.14
  5. Step 5: Solve for x
    x = 101,253,670.14/12,987.40
  6. Step 6: Final answer
    x = 7,796.30

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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.