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Finding the Fourth Proportional to 3,075.64, 4,612.96 and 883.87

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Solution

The fourth proportional to 3,075.64, 4,612.96 and 883.87 is: 1,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.64 : 4,612.96 = 883.87 : x
  2. Step 2: Convert to fraction form
    3,075.64/4,612.96 = 883.87/x
  3. Step 3: Cross multiply
    3,075.64x = 4,612.96 × 883.87
  4. Step 4: Simplify right side
    3,075.64x = 4,077,246.53
  5. Step 5: Solve for x
    x = 4,077,246.53/3,075.64
  6. Step 6: Final answer
    x = 1,325.66

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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.