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Finding the Fourth Proportional to 19,569.28, 27,005.20 and 11,071.28

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Solution

The fourth proportional to 19,569.28, 27,005.20 and 11,071.28 is: 15,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569.28 : 27,005.20 = 11,071.28 : x
  2. Step 2: Convert to fraction form
    19,569.28/27,005.20 = 11,071.28/x
  3. Step 3: Cross multiply
    19,569.28x = 27,005.20 × 11,071.28
  4. Step 4: Simplify right side
    19,569.28x = 298,982,130.66
  5. Step 5: Solve for x
    x = 298,982,130.66/19,569.28
  6. Step 6: Final answer
    x = 15,278.14

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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.