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Finding the Fourth Proportional to 7,155.67, 9,869.83 and 6,914.83

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Solution

The fourth proportional to 7,155.67, 9,869.83 and 6,914.83 is: 9,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.67 : 9,869.83 = 6,914.83 : x
  2. Step 2: Convert to fraction form
    7,155.67/9,869.83 = 6,914.83/x
  3. Step 3: Cross multiply
    7,155.67x = 9,869.83 × 6,914.83
  4. Step 4: Simplify right side
    7,155.67x = 68,248,196.58
  5. Step 5: Solve for x
    x = 68,248,196.58/7,155.67
  6. Step 6: Final answer
    x = 9,537.64

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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.