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Finding the Fourth Proportional to 6,666.70, 9,198.75 and 4,674.10

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Solution

The fourth proportional to 6,666.70, 9,198.75 and 4,674.10 is: 6,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.70 : 9,198.75 = 4,674.10 : x
  2. Step 2: Convert to fraction form
    6,666.70/9,198.75 = 4,674.10/x
  3. Step 3: Cross multiply
    6,666.70x = 9,198.75 × 4,674.10
  4. Step 4: Simplify right side
    6,666.70x = 42,995,877.38
  5. Step 5: Solve for x
    x = 42,995,877.38/6,666.70
  6. Step 6: Final answer
    x = 6,449.35

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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.