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Finding the Fourth Proportional to 25,520, 38,211.40 and 14,410.08

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Solution

The fourth proportional to 25,520, 38,211.40 and 14,410.08 is: 21,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,520 : 38,211.40 = 14,410.08 : x
  2. Step 2: Convert to fraction form
    25,520/38,211.40 = 14,410.08/x
  3. Step 3: Cross multiply
    25,520x = 38,211.40 × 14,410.08
  4. Step 4: Simplify right side
    25,520x = 550,629,330.91
  5. Step 5: Solve for x
    x = 550,629,330.91/25,520
  6. Step 6: Final answer
    x = 21,576.38

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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.