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Finding the Fourth Proportional to 8,582.58, 12,876.30 and 5,075.70

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Solution

The fourth proportional to 8,582.58, 12,876.30 and 5,075.70 is: 7,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.58 : 12,876.30 = 5,075.70 : x
  2. Step 2: Convert to fraction form
    8,582.58/12,876.30 = 5,075.70/x
  3. Step 3: Cross multiply
    8,582.58x = 12,876.30 × 5,075.70
  4. Step 4: Simplify right side
    8,582.58x = 65,356,235.91
  5. Step 5: Solve for x
    x = 65,356,235.91/8,582.58
  6. Step 6: Final answer
    x = 7,614.99

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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.