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Finding the Fourth Proportional to 13,978.04, 20,835.36 and 12,857.00

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Solution

The fourth proportional to 13,978.04, 20,835.36 and 12,857.00 is: 19,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.04 : 20,835.36 = 12,857.00 : x
  2. Step 2: Convert to fraction form
    13,978.04/20,835.36 = 12,857.00/x
  3. Step 3: Cross multiply
    13,978.04x = 20,835.36 × 12,857.00
  4. Step 4: Simplify right side
    13,978.04x = 267,880,119.34
  5. Step 5: Solve for x
    x = 267,880,119.34/13,978.04
  6. Step 6: Final answer
    x = 19,164.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.