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Finding the Fourth Proportional to 12,947.16, 19,421.14 and 4,182.14

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Solution

The fourth proportional to 12,947.16, 19,421.14 and 4,182.14 is: 6,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.16 : 19,421.14 = 4,182.14 : x
  2. Step 2: Convert to fraction form
    12,947.16/19,421.14 = 4,182.14/x
  3. Step 3: Cross multiply
    12,947.16x = 19,421.14 × 4,182.14
  4. Step 4: Simplify right side
    12,947.16x = 81,221,926.44
  5. Step 5: Solve for x
    x = 81,221,926.44/12,947.16
  6. Step 6: Final answer
    x = 6,273.34

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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.