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Finding the Fourth Proportional to 19,846.56, 29,770.50 and 9,980.44

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Solution

The fourth proportional to 19,846.56, 29,770.50 and 9,980.44 is: 14,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.56 : 29,770.50 = 9,980.44 : x
  2. Step 2: Convert to fraction form
    19,846.56/29,770.50 = 9,980.44/x
  3. Step 3: Cross multiply
    19,846.56x = 29,770.50 × 9,980.44
  4. Step 4: Simplify right side
    19,846.56x = 297,122,689.02
  5. Step 5: Solve for x
    x = 297,122,689.02/19,846.56
  6. Step 6: Final answer
    x = 14,970.99

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1.5x scale

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.