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Finding the Fourth Proportional to 7,800.40, 11,700.65 and 3,120.80

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Solution

The fourth proportional to 7,800.40, 11,700.65 and 3,120.80 is: 4,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.40 : 11,700.65 = 3,120.80 : x
  2. Step 2: Convert to fraction form
    7,800.40/11,700.65 = 3,120.80/x
  3. Step 3: Cross multiply
    7,800.40x = 11,700.65 × 3,120.80
  4. Step 4: Simplify right side
    7,800.40x = 36,515,388.52
  5. Step 5: Solve for x
    x = 36,515,388.52/7,800.40
  6. Step 6: Final answer
    x = 4,681.22

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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.