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Finding the Fourth Proportional to 11,807.60, 17,718.87 and 10,699.28

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Solution

The fourth proportional to 11,807.60, 17,718.87 and 10,699.28 is: 16,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.60 : 17,718.87 = 10,699.28 : x
  2. Step 2: Convert to fraction form
    11,807.60/17,718.87 = 10,699.28/x
  3. Step 3: Cross multiply
    11,807.60x = 17,718.87 × 10,699.28
  4. Step 4: Simplify right side
    11,807.60x = 189,579,062.82
  5. Step 5: Solve for x
    x = 189,579,062.82/11,807.60
  6. Step 6: Final answer
    x = 16,055.69

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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.