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Finding the Fourth Proportional to 9,075.82, 13,638.12 and 4,918.90

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Solution

The fourth proportional to 9,075.82, 13,638.12 and 4,918.90 is: 7,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.82 : 13,638.12 = 4,918.90 : x
  2. Step 2: Convert to fraction form
    9,075.82/13,638.12 = 4,918.90/x
  3. Step 3: Cross multiply
    9,075.82x = 13,638.12 × 4,918.90
  4. Step 4: Simplify right side
    9,075.82x = 67,084,548.47
  5. Step 5: Solve for x
    x = 67,084,548.47/9,075.82
  6. Step 6: Final answer
    x = 7,391.57

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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.