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Finding the Fourth Proportional to 7,776.26, 10,731.46 and 4,419.26

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Solution

The fourth proportional to 7,776.26, 10,731.46 and 4,419.26 is: 6,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.26 : 10,731.46 = 4,419.26 : x
  2. Step 2: Convert to fraction form
    7,776.26/10,731.46 = 4,419.26/x
  3. Step 3: Cross multiply
    7,776.26x = 10,731.46 × 4,419.26
  4. Step 4: Simplify right side
    7,776.26x = 47,425,111.92
  5. Step 5: Solve for x
    x = 47,425,111.92/7,776.26
  6. Step 6: Final answer
    x = 6,098.70

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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.