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Finding the Fourth Proportional to 8,649.63, 11,907.14 and 7,765.11

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Solution

The fourth proportional to 8,649.63, 11,907.14 and 7,765.11 is: 10,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.63 : 11,907.14 = 7,765.11 : x
  2. Step 2: Convert to fraction form
    8,649.63/11,907.14 = 7,765.11/x
  3. Step 3: Cross multiply
    8,649.63x = 11,907.14 × 7,765.11
  4. Step 4: Simplify right side
    8,649.63x = 92,460,213.06
  5. Step 5: Solve for x
    x = 92,460,213.06/8,649.63
  6. Step 6: Final answer
    x = 10,689.50

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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.