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Finding the Fourth Proportional to 7,175.98, 9,903.90 and 4,191.40

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Solution

The fourth proportional to 7,175.98, 9,903.90 and 4,191.40 is: 5,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.98 : 9,903.90 = 4,191.40 : x
  2. Step 2: Convert to fraction form
    7,175.98/9,903.90 = 4,191.40/x
  3. Step 3: Cross multiply
    7,175.98x = 9,903.90 × 4,191.40
  4. Step 4: Simplify right side
    7,175.98x = 41,511,206.46
  5. Step 5: Solve for x
    x = 41,511,206.46/7,175.98
  6. Step 6: Final answer
    x = 5,784.74

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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.