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Finding the Fourth Proportional to 7,715.50, 11,570.86 and 2,784.50

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Solution

The fourth proportional to 7,715.50, 11,570.86 and 2,784.50 is: 4,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.50 : 11,570.86 = 2,784.50 : x
  2. Step 2: Convert to fraction form
    7,715.50/11,570.86 = 2,784.50/x
  3. Step 3: Cross multiply
    7,715.50x = 11,570.86 × 2,784.50
  4. Step 4: Simplify right side
    7,715.50x = 32,219,059.67
  5. Step 5: Solve for x
    x = 32,219,059.67/7,715.50
  6. Step 6: Final answer
    x = 4,175.89

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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.