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Finding the Fourth Proportional to 10,075.68, 13,899.60 and 8,676

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Solution

The fourth proportional to 10,075.68, 13,899.60 and 8,676 is: 11,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.68 : 13,899.60 = 8,676 : x
  2. Step 2: Convert to fraction form
    10,075.68/13,899.60 = 8,676/x
  3. Step 3: Cross multiply
    10,075.68x = 13,899.60 × 8,676
  4. Step 4: Simplify right side
    10,075.68x = 120,592,929.60
  5. Step 5: Solve for x
    x = 120,592,929.60/10,075.68
  6. Step 6: Final answer
    x = 11,968.71

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1.5x scale

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.