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Finding the Fourth Proportional to 8,527.80, 12,762.90 and 7,836.60

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Solution

The fourth proportional to 8,527.80, 12,762.90 and 7,836.60 is: 11,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.80 : 12,762.90 = 7,836.60 : x
  2. Step 2: Convert to fraction form
    8,527.80/12,762.90 = 7,836.60/x
  3. Step 3: Cross multiply
    8,527.80x = 12,762.90 × 7,836.60
  4. Step 4: Simplify right side
    8,527.80x = 100,017,742.14
  5. Step 5: Solve for x
    x = 100,017,742.14/8,527.80
  6. Step 6: Final answer
    x = 11,728.43

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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.