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Finding the Fourth Proportional to 4,778.60, 7,168.93 and 1,658.71

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Solution

The fourth proportional to 4,778.60, 7,168.93 and 1,658.71 is: 2,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.60 : 7,168.93 = 1,658.71 : x
  2. Step 2: Convert to fraction form
    4,778.60/7,168.93 = 1,658.71/x
  3. Step 3: Cross multiply
    4,778.60x = 7,168.93 × 1,658.71
  4. Step 4: Simplify right side
    4,778.60x = 11,891,153.81
  5. Step 5: Solve for x
    x = 11,891,153.81/4,778.60
  6. Step 6: Final answer
    x = 2,488.42

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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.