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Finding the Fourth Proportional to 14,971.40, 20,659.64 and 8,257.10

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Solution

The fourth proportional to 14,971.40, 20,659.64 and 8,257.10 is: 11,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.40 : 20,659.64 = 8,257.10 : x
  2. Step 2: Convert to fraction form
    14,971.40/20,659.64 = 8,257.10/x
  3. Step 3: Cross multiply
    14,971.40x = 20,659.64 × 8,257.10
  4. Step 4: Simplify right side
    14,971.40x = 170,588,713.44
  5. Step 5: Solve for x
    x = 170,588,713.44/14,971.40
  6. Step 6: Final answer
    x = 11,394.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.