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Finding the Fourth Proportional to 7,809.11, 10,775.50 and 4,664.63

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Solution

The fourth proportional to 7,809.11, 10,775.50 and 4,664.63 is: 6,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.11 : 10,775.50 = 4,664.63 : x
  2. Step 2: Convert to fraction form
    7,809.11/10,775.50 = 4,664.63/x
  3. Step 3: Cross multiply
    7,809.11x = 10,775.50 × 4,664.63
  4. Step 4: Simplify right side
    7,809.11x = 50,263,678.35
  5. Step 5: Solve for x
    x = 50,263,678.35/7,809.11
  6. Step 6: Final answer
    x = 6,436.55

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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.