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Finding the Fourth Proportional to 7,154.98, 9,863.79 and 6,170.74

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Solution

The fourth proportional to 7,154.98, 9,863.79 and 6,170.74 is: 8,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.98 : 9,863.79 = 6,170.74 : x
  2. Step 2: Convert to fraction form
    7,154.98/9,863.79 = 6,170.74/x
  3. Step 3: Cross multiply
    7,154.98x = 9,863.79 × 6,170.74
  4. Step 4: Simplify right side
    7,154.98x = 60,866,883.50
  5. Step 5: Solve for x
    x = 60,866,883.50/7,154.98
  6. Step 6: Final answer
    x = 8,506.93

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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.