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Finding the Fourth Proportional to 8,582.40, 12,874.82 and 4,200.12

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Solution

The fourth proportional to 8,582.40, 12,874.82 and 4,200.12 is: 6,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.40 : 12,874.82 = 4,200.12 : x
  2. Step 2: Convert to fraction form
    8,582.40/12,874.82 = 4,200.12/x
  3. Step 3: Cross multiply
    8,582.40x = 12,874.82 × 4,200.12
  4. Step 4: Simplify right side
    8,582.40x = 54,075,767.98
  5. Step 5: Solve for x
    x = 54,075,767.98/8,582.40
  6. Step 6: Final answer
    x = 6,300.77

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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.