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Finding the Fourth Proportional to 7,807.64, 11,709.77 and 2,471.24

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Solution

The fourth proportional to 7,807.64, 11,709.77 and 2,471.24 is: 3,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.64 : 11,709.77 = 2,471.24 : x
  2. Step 2: Convert to fraction form
    7,807.64/11,709.77 = 2,471.24/x
  3. Step 3: Cross multiply
    7,807.64x = 11,709.77 × 2,471.24
  4. Step 4: Simplify right side
    7,807.64x = 28,937,588.63
  5. Step 5: Solve for x
    x = 28,937,588.63/7,807.64
  6. Step 6: Final answer
    x = 3,706.32

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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.