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Finding the Fourth Proportional to 2,567.79, 3,852.88 and 813.06

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Solution

The fourth proportional to 2,567.79, 3,852.88 and 813.06 is: 1,219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.79 : 3,852.88 = 813.06 : x
  2. Step 2: Convert to fraction form
    2,567.79/3,852.88 = 813.06/x
  3. Step 3: Cross multiply
    2,567.79x = 3,852.88 × 813.06
  4. Step 4: Simplify right side
    2,567.79x = 3,132,632.56
  5. Step 5: Solve for x
    x = 3,132,632.56/2,567.79
  6. Step 6: Final answer
    x = 1,219.97

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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.