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Finding the Fourth Proportional to 19,784, 27,303.84 and 10,952

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Solution

The fourth proportional to 19,784, 27,303.84 and 10,952 is: 15,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784 : 27,303.84 = 10,952 : x
  2. Step 2: Convert to fraction form
    19,784/27,303.84 = 10,952/x
  3. Step 3: Cross multiply
    19,784x = 27,303.84 × 10,952
  4. Step 4: Simplify right side
    19,784x = 299,031,655.68
  5. Step 5: Solve for x
    x = 299,031,655.68/19,784
  6. Step 6: Final answer
    x = 15,114.82

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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.