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Finding the Fourth Proportional to 3,011.84, 4,155.84 and 1,770.08

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Solution

The fourth proportional to 3,011.84, 4,155.84 and 1,770.08 is: 2,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.84 : 4,155.84 = 1,770.08 : x
  2. Step 2: Convert to fraction form
    3,011.84/4,155.84 = 1,770.08/x
  3. Step 3: Cross multiply
    3,011.84x = 4,155.84 × 1,770.08
  4. Step 4: Simplify right side
    3,011.84x = 7,356,169.27
  5. Step 5: Solve for x
    x = 7,356,169.27/3,011.84
  6. Step 6: Final answer
    x = 2,442.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.