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Finding the Fourth Proportional to 3,075.41, 4,612.76 and 854.42

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Solution

The fourth proportional to 3,075.41, 4,612.76 and 854.42 is: 1,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.41 : 4,612.76 = 854.42 : x
  2. Step 2: Convert to fraction form
    3,075.41/4,612.76 = 854.42/x
  3. Step 3: Cross multiply
    3,075.41x = 4,612.76 × 854.42
  4. Step 4: Simplify right side
    3,075.41x = 3,941,210.27
  5. Step 5: Solve for x
    x = 3,941,210.27/3,075.41
  6. Step 6: Final answer
    x = 1,281.52

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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.