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Finding the Fourth Proportional to 30,010.10, 45,015.16 and 7,823.42

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Solution

The fourth proportional to 30,010.10, 45,015.16 and 7,823.42 is: 11,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.10 : 45,015.16 = 7,823.42 : x
  2. Step 2: Convert to fraction form
    30,010.10/45,015.16 = 7,823.42/x
  3. Step 3: Cross multiply
    30,010.10x = 45,015.16 × 7,823.42
  4. Step 4: Simplify right side
    30,010.10x = 352,172,503.05
  5. Step 5: Solve for x
    x = 352,172,503.05/30,010.10
  6. Step 6: Final answer
    x = 11,735.13

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Double scale
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Similar ratio
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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.