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Finding the Fourth Proportional to 19,491, 29,188.71 and 18,995.28

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Solution

The fourth proportional to 19,491, 29,188.71 and 18,995.28 is: 28,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491 : 29,188.71 = 18,995.28 : x
  2. Step 2: Convert to fraction form
    19,491/29,188.71 = 18,995.28/x
  3. Step 3: Cross multiply
    19,491x = 29,188.71 × 18,995.28
  4. Step 4: Simplify right side
    19,491x = 554,447,719.29
  5. Step 5: Solve for x
    x = 554,447,719.29/19,491
  6. Step 6: Final answer
    x = 28,446.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.