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Finding the Fourth Proportional to 8,041.60, 12,076.80 and 7,782.40

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Solution

The fourth proportional to 8,041.60, 12,076.80 and 7,782.40 is: 11,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.60 : 12,076.80 = 7,782.40 : x
  2. Step 2: Convert to fraction form
    8,041.60/12,076.80 = 7,782.40/x
  3. Step 3: Cross multiply
    8,041.60x = 12,076.80 × 7,782.40
  4. Step 4: Simplify right side
    8,041.60x = 93,986,488.32
  5. Step 5: Solve for x
    x = 93,986,488.32/8,041.60
  6. Step 6: Final answer
    x = 11,687.54

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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.