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Finding the Fourth Proportional to 30,776.90, 46,251.90 and 18,299.16

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Solution

The fourth proportional to 30,776.90, 46,251.90 and 18,299.16 is: 27,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.90 : 46,251.90 = 18,299.16 : x
  2. Step 2: Convert to fraction form
    30,776.90/46,251.90 = 18,299.16/x
  3. Step 3: Cross multiply
    30,776.90x = 46,251.90 × 18,299.16
  4. Step 4: Simplify right side
    30,776.90x = 846,370,918.40
  5. Step 5: Solve for x
    x = 846,370,918.40/30,776.90
  6. Step 6: Final answer
    x = 27,500.20

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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.