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Finding the Fourth Proportional to 30,783, 46,176.66 and 12,315

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Solution

The fourth proportional to 30,783, 46,176.66 and 12,315 is: 18,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783 : 46,176.66 = 12,315 : x
  2. Step 2: Convert to fraction form
    30,783/46,176.66 = 12,315/x
  3. Step 3: Cross multiply
    30,783x = 46,176.66 × 12,315
  4. Step 4: Simplify right side
    30,783x = 568,665,567.90
  5. Step 5: Solve for x
    x = 568,665,567.90/30,783
  6. Step 6: Final answer
    x = 18,473.36

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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.