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Finding the Fourth Proportional to 14,478.03, 19,978.75 and 8,103.55

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Solution

The fourth proportional to 14,478.03, 19,978.75 and 8,103.55 is: 11,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.03 : 19,978.75 = 8,103.55 : x
  2. Step 2: Convert to fraction form
    14,478.03/19,978.75 = 8,103.55/x
  3. Step 3: Cross multiply
    14,478.03x = 19,978.75 × 8,103.55
  4. Step 4: Simplify right side
    14,478.03x = 161,898,729.36
  5. Step 5: Solve for x
    x = 161,898,729.36/14,478.03
  6. Step 6: Final answer
    x = 11,182.37

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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.