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Finding the Fourth Proportional to 30,261.78, 45,393.48 and 8,075.10

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Solution

The fourth proportional to 30,261.78, 45,393.48 and 8,075.10 is: 12,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261.78 : 45,393.48 = 8,075.10 : x
  2. Step 2: Convert to fraction form
    30,261.78/45,393.48 = 8,075.10/x
  3. Step 3: Cross multiply
    30,261.78x = 45,393.48 × 8,075.10
  4. Step 4: Simplify right side
    30,261.78x = 366,556,890.35
  5. Step 5: Solve for x
    x = 366,556,890.35/30,261.78
  6. Step 6: Final answer
    x = 12,112.87

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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.