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Finding the Fourth Proportional to 13,968, 19,287.36 and 12,219.84

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Solution

The fourth proportional to 13,968, 19,287.36 and 12,219.84 is: 16,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968 : 19,287.36 = 12,219.84 : x
  2. Step 2: Convert to fraction form
    13,968/19,287.36 = 12,219.84/x
  3. Step 3: Cross multiply
    13,968x = 19,287.36 × 12,219.84
  4. Step 4: Simplify right side
    13,968x = 235,688,453.22
  5. Step 5: Solve for x
    x = 235,688,453.22/13,968
  6. Step 6: Final answer
    x = 16,873.46

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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.