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Finding the Fourth Proportional to 7,926.80, 10,939.05 and 4,782.38

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Solution

The fourth proportional to 7,926.80, 10,939.05 and 4,782.38 is: 6,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.80 : 10,939.05 = 4,782.38 : x
  2. Step 2: Convert to fraction form
    7,926.80/10,939.05 = 4,782.38/x
  3. Step 3: Cross multiply
    7,926.80x = 10,939.05 × 4,782.38
  4. Step 4: Simplify right side
    7,926.80x = 52,314,639.24
  5. Step 5: Solve for x
    x = 52,314,639.24/7,926.80
  6. Step 6: Final answer
    x = 6,599.72

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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.