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Finding the Fourth Proportional to 7,889.88, 11,821.76 and 7,075.90

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Solution

The fourth proportional to 7,889.88, 11,821.76 and 7,075.90 is: 10,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.88 : 11,821.76 = 7,075.90 : x
  2. Step 2: Convert to fraction form
    7,889.88/11,821.76 = 7,075.90/x
  3. Step 3: Cross multiply
    7,889.88x = 11,821.76 × 7,075.90
  4. Step 4: Simplify right side
    7,889.88x = 83,649,591.58
  5. Step 5: Solve for x
    x = 83,649,591.58/7,889.88
  6. Step 6: Final answer
    x = 10,602.14

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1.5x scale

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.