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Finding the Fourth Proportional to 5,075.12, 7,612.94 and 1,612.64

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Solution

The fourth proportional to 5,075.12, 7,612.94 and 1,612.64 is: 2,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.12 : 7,612.94 = 1,612.64 : x
  2. Step 2: Convert to fraction form
    5,075.12/7,612.94 = 1,612.64/x
  3. Step 3: Cross multiply
    5,075.12x = 7,612.94 × 1,612.64
  4. Step 4: Simplify right side
    5,075.12x = 12,276,931.56
  5. Step 5: Solve for x
    x = 12,276,931.56/5,075.12
  6. Step 6: Final answer
    x = 2,419.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.