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Finding the Fourth Proportional to 19,491.80, 26,881.02 and 12,775

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Solution

The fourth proportional to 19,491.80, 26,881.02 and 12,775 is: 17,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491.80 : 26,881.02 = 12,775 : x
  2. Step 2: Convert to fraction form
    19,491.80/26,881.02 = 12,775/x
  3. Step 3: Cross multiply
    19,491.80x = 26,881.02 × 12,775
  4. Step 4: Simplify right side
    19,491.80x = 343,405,030.50
  5. Step 5: Solve for x
    x = 343,405,030.50/19,491.80
  6. Step 6: Final answer
    x = 17,617.92

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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.