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Finding the Fourth Proportional to 14,573.89, 20,188.12 and 14,278.63

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Solution

The fourth proportional to 14,573.89, 20,188.12 and 14,278.63 is: 19,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.89 : 20,188.12 = 14,278.63 : x
  2. Step 2: Convert to fraction form
    14,573.89/20,188.12 = 14,278.63/x
  3. Step 3: Cross multiply
    14,573.89x = 20,188.12 × 14,278.63
  4. Step 4: Simplify right side
    14,573.89x = 288,258,695.88
  5. Step 5: Solve for x
    x = 288,258,695.88/14,573.89
  6. Step 6: Final answer
    x = 19,779.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.