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Finding the Fourth Proportional to 4,778.68, 7,167.84 and 1,315.84

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Solution

The fourth proportional to 4,778.68, 7,167.84 and 1,315.84 is: 1,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.68 : 7,167.84 = 1,315.84 : x
  2. Step 2: Convert to fraction form
    4,778.68/7,167.84 = 1,315.84/x
  3. Step 3: Cross multiply
    4,778.68x = 7,167.84 × 1,315.84
  4. Step 4: Simplify right side
    4,778.68x = 9,431,730.59
  5. Step 5: Solve for x
    x = 9,431,730.59/4,778.68
  6. Step 6: Final answer
    x = 1,973.71

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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.