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Finding the Fourth Proportional to 7,160.98, 10,737.13 and 3,211.50

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Solution

The fourth proportional to 7,160.98, 10,737.13 and 3,211.50 is: 4,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.98 : 10,737.13 = 3,211.50 : x
  2. Step 2: Convert to fraction form
    7,160.98/10,737.13 = 3,211.50/x
  3. Step 3: Cross multiply
    7,160.98x = 10,737.13 × 3,211.50
  4. Step 4: Simplify right side
    7,160.98x = 34,482,293.00
  5. Step 5: Solve for x
    x = 34,482,293.00/7,160.98
  6. Step 6: Final answer
    x = 4,815.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.