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Finding the Fourth Proportional to 7,808.58, 10,777.05 and 4,451.40

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Solution

The fourth proportional to 7,808.58, 10,777.05 and 4,451.40 is: 6,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.58 : 10,777.05 = 4,451.40 : x
  2. Step 2: Convert to fraction form
    7,808.58/10,777.05 = 4,451.40/x
  3. Step 3: Cross multiply
    7,808.58x = 10,777.05 × 4,451.40
  4. Step 4: Simplify right side
    7,808.58x = 47,972,960.37
  5. Step 5: Solve for x
    x = 47,972,960.37/7,808.58
  6. Step 6: Final answer
    x = 6,143.62

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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.