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Finding the Fourth Proportional to 2,075.76, 3,114.06 and 614.88

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Solution

The fourth proportional to 2,075.76, 3,114.06 and 614.88 is: 922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.76 : 3,114.06 = 614.88 : x
  2. Step 2: Convert to fraction form
    2,075.76/3,114.06 = 614.88/x
  3. Step 3: Cross multiply
    2,075.76x = 3,114.06 × 614.88
  4. Step 4: Simplify right side
    2,075.76x = 1,914,773.21
  5. Step 5: Solve for x
    x = 1,914,773.21/2,075.76
  6. Step 6: Final answer
    x = 922.44

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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.