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Finding the Fourth Proportional to 19,780.56, 29,658.24 and 9,914.40

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Solution

The fourth proportional to 19,780.56, 29,658.24 and 9,914.40 is: 14,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.56 : 29,658.24 = 9,914.40 : x
  2. Step 2: Convert to fraction form
    19,780.56/29,658.24 = 9,914.40/x
  3. Step 3: Cross multiply
    19,780.56x = 29,658.24 × 9,914.40
  4. Step 4: Simplify right side
    19,780.56x = 294,043,654.66
  5. Step 5: Solve for x
    x = 294,043,654.66/19,780.56
  6. Step 6: Final answer
    x = 14,865.28

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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.