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Finding the Fourth Proportional to 8,761, 12,075.77 and 6,209.61

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Solution

The fourth proportional to 8,761, 12,075.77 and 6,209.61 is: 8,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761 : 12,075.77 = 6,209.61 : x
  2. Step 2: Convert to fraction form
    8,761/12,075.77 = 6,209.61/x
  3. Step 3: Cross multiply
    8,761x = 12,075.77 × 6,209.61
  4. Step 4: Simplify right side
    8,761x = 74,985,822.15
  5. Step 5: Solve for x
    x = 74,985,822.15/8,761
  6. Step 6: Final answer
    x = 8,559.05

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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.