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Finding the Fourth Proportional to 19,386, 26,754.84 and 11,005.20

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Solution

The fourth proportional to 19,386, 26,754.84 and 11,005.20 is: 15,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,386 : 26,754.84 = 11,005.20 : x
  2. Step 2: Convert to fraction form
    19,386/26,754.84 = 11,005.20/x
  3. Step 3: Cross multiply
    19,386x = 26,754.84 × 11,005.20
  4. Step 4: Simplify right side
    19,386x = 294,442,365.17
  5. Step 5: Solve for x
    x = 294,442,365.17/19,386
  6. Step 6: Final answer
    x = 15,188.40

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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.