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Finding the Fourth Proportional to 7,570.71, 11,359.71 and 3,187.62

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Solution

The fourth proportional to 7,570.71, 11,359.71 and 3,187.62 is: 4,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.71 : 11,359.71 = 3,187.62 : x
  2. Step 2: Convert to fraction form
    7,570.71/11,359.71 = 3,187.62/x
  3. Step 3: Cross multiply
    7,570.71x = 11,359.71 × 3,187.62
  4. Step 4: Simplify right side
    7,570.71x = 36,210,438.79
  5. Step 5: Solve for x
    x = 36,210,438.79/7,570.71
  6. Step 6: Final answer
    x = 4,782.96

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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.