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Finding the Fourth Proportional to 12,700.20, 19,029.51 and 12,214.20

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Solution

The fourth proportional to 12,700.20, 19,029.51 and 12,214.20 is: 18,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.20 : 19,029.51 = 12,214.20 : x
  2. Step 2: Convert to fraction form
    12,700.20/19,029.51 = 12,214.20/x
  3. Step 3: Cross multiply
    12,700.20x = 19,029.51 × 12,214.20
  4. Step 4: Simplify right side
    12,700.20x = 232,430,241.04
  5. Step 5: Solve for x
    x = 232,430,241.04/12,700.20
  6. Step 6: Final answer
    x = 18,301.31

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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.