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Finding the Fourth Proportional to 2,075.68, 3,113.82 and 614.64

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Solution

The fourth proportional to 2,075.68, 3,113.82 and 614.64 is: 922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.68 : 3,113.82 = 614.64 : x
  2. Step 2: Convert to fraction form
    2,075.68/3,113.82 = 614.64/x
  3. Step 3: Cross multiply
    2,075.68x = 3,113.82 × 614.64
  4. Step 4: Simplify right side
    2,075.68x = 1,913,878.32
  5. Step 5: Solve for x
    x = 1,913,878.32/2,075.68
  6. Step 6: Final answer
    x = 922.05

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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.