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Finding the Fourth Proportional to 30,771.16, 46,169.70 and 18,315.16

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Solution

The fourth proportional to 30,771.16, 46,169.70 and 18,315.16 is: 27,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.16 : 46,169.70 = 18,315.16 : x
  2. Step 2: Convert to fraction form
    30,771.16/46,169.70 = 18,315.16/x
  3. Step 3: Cross multiply
    30,771.16x = 46,169.70 × 18,315.16
  4. Step 4: Simplify right side
    30,771.16x = 845,605,442.65
  5. Step 5: Solve for x
    x = 845,605,442.65/30,771.16
  6. Step 6: Final answer
    x = 27,480.45

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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.