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Finding the Fourth Proportional to 19,101, 28,658.79 and 7,415.13

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Solution

The fourth proportional to 19,101, 28,658.79 and 7,415.13 is: 11,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101 : 28,658.79 = 7,415.13 : x
  2. Step 2: Convert to fraction form
    19,101/28,658.79 = 7,415.13/x
  3. Step 3: Cross multiply
    19,101x = 28,658.79 × 7,415.13
  4. Step 4: Simplify right side
    19,101x = 212,508,653.49
  5. Step 5: Solve for x
    x = 212,508,653.49/19,101
  6. Step 6: Final answer
    x = 11,125.53

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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.