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Finding the Fourth Proportional to 19,574.94, 27,013.20 and 11,078.76

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Solution

The fourth proportional to 19,574.94, 27,013.20 and 11,078.76 is: 15,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.94 : 27,013.20 = 11,078.76 : x
  2. Step 2: Convert to fraction form
    19,574.94/27,013.20 = 11,078.76/x
  3. Step 3: Cross multiply
    19,574.94x = 27,013.20 × 11,078.76
  4. Step 4: Simplify right side
    19,574.94x = 299,272,759.63
  5. Step 5: Solve for x
    x = 299,272,759.63/19,574.94
  6. Step 6: Final answer
    x = 15,288.57

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1.5x scale

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.