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Finding the Fourth Proportional to 30,082.32, 45,129.96 and 9,022.32

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Solution

The fourth proportional to 30,082.32, 45,129.96 and 9,022.32 is: 13,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.32 : 45,129.96 = 9,022.32 : x
  2. Step 2: Convert to fraction form
    30,082.32/45,129.96 = 9,022.32/x
  3. Step 3: Cross multiply
    30,082.32x = 45,129.96 × 9,022.32
  4. Step 4: Simplify right side
    30,082.32x = 407,176,940.71
  5. Step 5: Solve for x
    x = 407,176,940.71/30,082.32
  6. Step 6: Final answer
    x = 13,535.42

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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.