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Finding the Fourth Proportional to 7,803.78, 11,710.56 and 4,518.42

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Solution

The fourth proportional to 7,803.78, 11,710.56 and 4,518.42 is: 6,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.78 : 11,710.56 = 4,518.42 : x
  2. Step 2: Convert to fraction form
    7,803.78/11,710.56 = 4,518.42/x
  3. Step 3: Cross multiply
    7,803.78x = 11,710.56 × 4,518.42
  4. Step 4: Simplify right side
    7,803.78x = 52,913,228.52
  5. Step 5: Solve for x
    x = 52,913,228.52/7,803.78
  6. Step 6: Final answer
    x = 6,780.46

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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.