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Finding the Fourth Proportional to 2,765.79, 3,816.72 and 1,506.88

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Solution

The fourth proportional to 2,765.79, 3,816.72 and 1,506.88 is: 2,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.79 : 3,816.72 = 1,506.88 : x
  2. Step 2: Convert to fraction form
    2,765.79/3,816.72 = 1,506.88/x
  3. Step 3: Cross multiply
    2,765.79x = 3,816.72 × 1,506.88
  4. Step 4: Simplify right side
    2,765.79x = 5,751,329.49
  5. Step 5: Solve for x
    x = 5,751,329.49/2,765.79
  6. Step 6: Final answer
    x = 2,079.45

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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.