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Finding the Fourth Proportional to 19,807.68, 27,332.46 and 11,309

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Solution

The fourth proportional to 19,807.68, 27,332.46 and 11,309 is: 15,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.68 : 27,332.46 = 11,309 : x
  2. Step 2: Convert to fraction form
    19,807.68/27,332.46 = 11,309/x
  3. Step 3: Cross multiply
    19,807.68x = 27,332.46 × 11,309
  4. Step 4: Simplify right side
    19,807.68x = 309,102,790.14
  5. Step 5: Solve for x
    x = 309,102,790.14/19,807.68
  6. Step 6: Final answer
    x = 15,605.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.