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Finding the Fourth Proportional to 13,214.79, 19,813.34 and 6,968.21

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Solution

The fourth proportional to 13,214.79, 19,813.34 and 6,968.21 is: 10,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.79 : 19,813.34 = 6,968.21 : x
  2. Step 2: Convert to fraction form
    13,214.79/19,813.34 = 6,968.21/x
  3. Step 3: Cross multiply
    13,214.79x = 19,813.34 × 6,968.21
  4. Step 4: Simplify right side
    13,214.79x = 138,063,432.28
  5. Step 5: Solve for x
    x = 138,063,432.28/13,214.79
  6. Step 6: Final answer
    x = 10,447.64

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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.