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Finding the Fourth Proportional to 13,457.70, 20,276.25 and 12,394.98

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Solution

The fourth proportional to 13,457.70, 20,276.25 and 12,394.98 is: 18,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.70 : 20,276.25 = 12,394.98 : x
  2. Step 2: Convert to fraction form
    13,457.70/20,276.25 = 12,394.98/x
  3. Step 3: Cross multiply
    13,457.70x = 20,276.25 × 12,394.98
  4. Step 4: Simplify right side
    13,457.70x = 251,323,713.23
  5. Step 5: Solve for x
    x = 251,323,713.23/13,457.70
  6. Step 6: Final answer
    x = 18,675.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.