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Finding the Fourth Proportional to 7,776.39, 10,731.46 and 4,239.48

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Solution

The fourth proportional to 7,776.39, 10,731.46 and 4,239.48 is: 5,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.39 : 10,731.46 = 4,239.48 : x
  2. Step 2: Convert to fraction form
    7,776.39/10,731.46 = 4,239.48/x
  3. Step 3: Cross multiply
    7,776.39x = 10,731.46 × 4,239.48
  4. Step 4: Simplify right side
    7,776.39x = 45,495,810.04
  5. Step 5: Solve for x
    x = 45,495,810.04/7,776.39
  6. Step 6: Final answer
    x = 5,850.51

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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.