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Finding the Fourth Proportional to 30,071.82, 45,113.82 and 9,012.24

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Solution

The fourth proportional to 30,071.82, 45,113.82 and 9,012.24 is: 13,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.82 : 45,113.82 = 9,012.24 : x
  2. Step 2: Convert to fraction form
    30,071.82/45,113.82 = 9,012.24/x
  3. Step 3: Cross multiply
    30,071.82x = 45,113.82 × 9,012.24
  4. Step 4: Simplify right side
    30,071.82x = 406,576,573.16
  5. Step 5: Solve for x
    x = 406,576,573.16/30,071.82
  6. Step 6: Final answer
    x = 13,520.19

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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.