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Finding the Fourth Proportional to 30,877, 46,377.66 and 18,421.36

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Solution

The fourth proportional to 30,877, 46,377.66 and 18,421.36 is: 27,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877 : 46,377.66 = 18,421.36 : x
  2. Step 2: Convert to fraction form
    30,877/46,377.66 = 18,421.36/x
  3. Step 3: Cross multiply
    30,877x = 46,377.66 × 18,421.36
  4. Step 4: Simplify right side
    30,877x = 854,339,570.82
  5. Step 5: Solve for x
    x = 854,339,570.82/30,877
  6. Step 6: Final answer
    x = 27,669.12

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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.