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Finding the Fourth Proportional to 2,809.76, 3,877.46 and 1,567.76

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Solution

The fourth proportional to 2,809.76, 3,877.46 and 1,567.76 is: 2,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.76 : 3,877.46 = 1,567.76 : x
  2. Step 2: Convert to fraction form
    2,809.76/3,877.46 = 1,567.76/x
  3. Step 3: Cross multiply
    2,809.76x = 3,877.46 × 1,567.76
  4. Step 4: Simplify right side
    2,809.76x = 6,078,926.69
  5. Step 5: Solve for x
    x = 6,078,926.69/2,809.76
  6. Step 6: Final answer
    x = 2,163.50

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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.