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Finding the Fourth Proportional to 7,783.59, 10,739.96 and 4,426.21

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Solution

The fourth proportional to 7,783.59, 10,739.96 and 4,426.21 is: 6,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.59 : 10,739.96 = 4,426.21 : x
  2. Step 2: Convert to fraction form
    7,783.59/10,739.96 = 4,426.21/x
  3. Step 3: Cross multiply
    7,783.59x = 10,739.96 × 4,426.21
  4. Step 4: Simplify right side
    7,783.59x = 47,537,329.42
  5. Step 5: Solve for x
    x = 47,537,329.42/7,783.59
  6. Step 6: Final answer
    x = 6,107.38

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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.