Home / 30,977.40-46,466.10-10,198.20

Finding the Fourth Proportional to 30,977.40, 46,466.10 and 10,198.20

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Solution

The fourth proportional to 30,977.40, 46,466.10 and 10,198.20 is: 15,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.40 : 46,466.10 = 10,198.20 : x
  2. Step 2: Convert to fraction form
    30,977.40/46,466.10 = 10,198.20/x
  3. Step 3: Cross multiply
    30,977.40x = 46,466.10 × 10,198.20
  4. Step 4: Simplify right side
    30,977.40x = 473,870,581.02
  5. Step 5: Solve for x
    x = 473,870,581.02/30,977.40
  6. Step 6: Final answer
    x = 15,297.30

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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.