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Finding the Fourth Proportional to 8,622.54, 12,929.74 and 3,075.80

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Solution

The fourth proportional to 8,622.54, 12,929.74 and 3,075.80 is: 4,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.54 : 12,929.74 = 3,075.80 : x
  2. Step 2: Convert to fraction form
    8,622.54/12,929.74 = 3,075.80/x
  3. Step 3: Cross multiply
    8,622.54x = 12,929.74 × 3,075.80
  4. Step 4: Simplify right side
    8,622.54x = 39,769,294.29
  5. Step 5: Solve for x
    x = 39,769,294.29/8,622.54
  6. Step 6: Final answer
    x = 4,612.25

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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.