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Finding the Fourth Proportional to 7,114.68, 9,815.50 and 4,321.08

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Solution

The fourth proportional to 7,114.68, 9,815.50 and 4,321.08 is: 5,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.68 : 9,815.50 = 4,321.08 : x
  2. Step 2: Convert to fraction form
    7,114.68/9,815.50 = 4,321.08/x
  3. Step 3: Cross multiply
    7,114.68x = 9,815.50 × 4,321.08
  4. Step 4: Simplify right side
    7,114.68x = 42,413,560.74
  5. Step 5: Solve for x
    x = 42,413,560.74/7,114.68
  6. Step 6: Final answer
    x = 5,961.42

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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.