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Finding the Fourth Proportional to 19,739.80, 29,609.70 and 19,415.80

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Solution

The fourth proportional to 19,739.80, 29,609.70 and 19,415.80 is: 29,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739.80 : 29,609.70 = 19,415.80 : x
  2. Step 2: Convert to fraction form
    19,739.80/29,609.70 = 19,415.80/x
  3. Step 3: Cross multiply
    19,739.80x = 29,609.70 × 19,415.80
  4. Step 4: Simplify right side
    19,739.80x = 574,896,013.26
  5. Step 5: Solve for x
    x = 574,896,013.26/19,739.80
  6. Step 6: Final answer
    x = 29,123.70

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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.