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Finding the Fourth Proportional to 19,384.88, 26,752 and 11,002.16

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Solution

The fourth proportional to 19,384.88, 26,752 and 11,002.16 is: 15,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384.88 : 26,752 = 11,002.16 : x
  2. Step 2: Convert to fraction form
    19,384.88/26,752 = 11,002.16/x
  3. Step 3: Cross multiply
    19,384.88x = 26,752 × 11,002.16
  4. Step 4: Simplify right side
    19,384.88x = 294,329,784.32
  5. Step 5: Solve for x
    x = 294,329,784.32/19,384.88
  6. Step 6: Final answer
    x = 15,183.47

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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.