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Finding the Fourth Proportional to 7,605.64, 11,400.69 and 5,140.71

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Solution

The fourth proportional to 7,605.64, 11,400.69 and 5,140.71 is: 7,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.64 : 11,400.69 = 5,140.71 : x
  2. Step 2: Convert to fraction form
    7,605.64/11,400.69 = 5,140.71/x
  3. Step 3: Cross multiply
    7,605.64x = 11,400.69 × 5,140.71
  4. Step 4: Simplify right side
    7,605.64x = 58,607,641.09
  5. Step 5: Solve for x
    x = 58,607,641.09/7,605.64
  6. Step 6: Final answer
    x = 7,705.82

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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.