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Finding the Fourth Proportional to 11,807.76, 17,711.64 and 5,232.40

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Solution

The fourth proportional to 11,807.76, 17,711.64 and 5,232.40 is: 7,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.76 : 17,711.64 = 5,232.40 : x
  2. Step 2: Convert to fraction form
    11,807.76/17,711.64 = 5,232.40/x
  3. Step 3: Cross multiply
    11,807.76x = 17,711.64 × 5,232.40
  4. Step 4: Simplify right side
    11,807.76x = 92,674,385.14
  5. Step 5: Solve for x
    x = 92,674,385.14/11,807.76
  6. Step 6: Final answer
    x = 7,848.60

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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.