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Finding the Fourth Proportional to 7,930.16, 10,942.86 and 4,393.30

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Solution

The fourth proportional to 7,930.16, 10,942.86 and 4,393.30 is: 6,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.16 : 10,942.86 = 4,393.30 : x
  2. Step 2: Convert to fraction form
    7,930.16/10,942.86 = 4,393.30/x
  3. Step 3: Cross multiply
    7,930.16x = 10,942.86 × 4,393.30
  4. Step 4: Simplify right side
    7,930.16x = 48,075,266.84
  5. Step 5: Solve for x
    x = 48,075,266.84/7,930.16
  6. Step 6: Final answer
    x = 6,062.33

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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.