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Finding the Fourth Proportional to 8,133.64, 12,200.46 and 1,977.64

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Solution

The fourth proportional to 8,133.64, 12,200.46 and 1,977.64 is: 2,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.64 : 12,200.46 = 1,977.64 : x
  2. Step 2: Convert to fraction form
    8,133.64/12,200.46 = 1,977.64/x
  3. Step 3: Cross multiply
    8,133.64x = 12,200.46 × 1,977.64
  4. Step 4: Simplify right side
    8,133.64x = 24,128,117.71
  5. Step 5: Solve for x
    x = 24,128,117.71/8,133.64
  6. Step 6: Final answer
    x = 2,966.46

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Similar ratio
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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.