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Finding the Fourth Proportional to 19,777.80, 29,658.99 and 7,124.13

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Solution

The fourth proportional to 19,777.80, 29,658.99 and 7,124.13 is: 10,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.80 : 29,658.99 = 7,124.13 : x
  2. Step 2: Convert to fraction form
    19,777.80/29,658.99 = 7,124.13/x
  3. Step 3: Cross multiply
    19,777.80x = 29,658.99 × 7,124.13
  4. Step 4: Simplify right side
    19,777.80x = 211,294,527.14
  5. Step 5: Solve for x
    x = 211,294,527.14/19,777.80
  6. Step 6: Final answer
    x = 10,683.42

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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.