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Finding the Fourth Proportional to 13,460.94, 20,194.11 and 4,693.50

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Solution

The fourth proportional to 13,460.94, 20,194.11 and 4,693.50 is: 7,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.94 : 20,194.11 = 4,693.50 : x
  2. Step 2: Convert to fraction form
    13,460.94/20,194.11 = 4,693.50/x
  3. Step 3: Cross multiply
    13,460.94x = 20,194.11 × 4,693.50
  4. Step 4: Simplify right side
    13,460.94x = 94,781,055.29
  5. Step 5: Solve for x
    x = 94,781,055.29/13,460.94
  6. Step 6: Final answer
    x = 7,041.19

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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.