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Finding the Fourth Proportional to 12,678.56, 19,016.12 and 3,319.20

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Solution

The fourth proportional to 12,678.56, 19,016.12 and 3,319.20 is: 4,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.56 : 19,016.12 = 3,319.20 : x
  2. Step 2: Convert to fraction form
    12,678.56/19,016.12 = 3,319.20/x
  3. Step 3: Cross multiply
    12,678.56x = 19,016.12 × 3,319.20
  4. Step 4: Simplify right side
    12,678.56x = 63,118,305.50
  5. Step 5: Solve for x
    x = 63,118,305.50/12,678.56
  6. Step 6: Final answer
    x = 4,978.35

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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.