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Finding the Fourth Proportional to 5,852.70, 8,078.55 and 4,815.90

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Solution

The fourth proportional to 5,852.70, 8,078.55 and 4,815.90 is: 6,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.70 : 8,078.55 = 4,815.90 : x
  2. Step 2: Convert to fraction form
    5,852.70/8,078.55 = 4,815.90/x
  3. Step 3: Cross multiply
    5,852.70x = 8,078.55 × 4,815.90
  4. Step 4: Simplify right side
    5,852.70x = 38,905,488.95
  5. Step 5: Solve for x
    x = 38,905,488.95/5,852.70
  6. Step 6: Final answer
    x = 6,647.44

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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.