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Finding the Fourth Proportional to 7,803.77, 10,768.19 and 4,780.24

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Solution

The fourth proportional to 7,803.77, 10,768.19 and 4,780.24 is: 6,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.77 : 10,768.19 = 4,780.24 : x
  2. Step 2: Convert to fraction form
    7,803.77/10,768.19 = 4,780.24/x
  3. Step 3: Cross multiply
    7,803.77x = 10,768.19 × 4,780.24
  4. Step 4: Simplify right side
    7,803.77x = 51,474,517.60
  5. Step 5: Solve for x
    x = 51,474,517.60/7,803.77
  6. Step 6: Final answer
    x = 6,596.11

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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.