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Finding the Fourth Proportional to 30,890.60, 46,335.90 and 10,116.20

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Solution

The fourth proportional to 30,890.60, 46,335.90 and 10,116.20 is: 15,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.60 : 46,335.90 = 10,116.20 : x
  2. Step 2: Convert to fraction form
    30,890.60/46,335.90 = 10,116.20/x
  3. Step 3: Cross multiply
    30,890.60x = 46,335.90 × 10,116.20
  4. Step 4: Simplify right side
    30,890.60x = 468,743,231.58
  5. Step 5: Solve for x
    x = 468,743,231.58/30,890.60
  6. Step 6: Final answer
    x = 15,174.30

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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.