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Finding the Fourth Proportional to 8,554.38, 12,821.02 and 6,075.78

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Solution

The fourth proportional to 8,554.38, 12,821.02 and 6,075.78 is: 9,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.38 : 12,821.02 = 6,075.78 : x
  2. Step 2: Convert to fraction form
    8,554.38/12,821.02 = 6,075.78/x
  3. Step 3: Cross multiply
    8,554.38x = 12,821.02 × 6,075.78
  4. Step 4: Simplify right side
    8,554.38x = 77,897,696.90
  5. Step 5: Solve for x
    x = 77,897,696.90/8,554.38
  6. Step 6: Final answer
    x = 9,106.18

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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.