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Finding the Fourth Proportional to 19,120, 26,374.16 and 12,034.12

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Solution

The fourth proportional to 19,120, 26,374.16 and 12,034.12 is: 16,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120 : 26,374.16 = 12,034.12 : x
  2. Step 2: Convert to fraction form
    19,120/26,374.16 = 12,034.12/x
  3. Step 3: Cross multiply
    19,120x = 26,374.16 × 12,034.12
  4. Step 4: Simplify right side
    19,120x = 317,389,806.34
  5. Step 5: Solve for x
    x = 317,389,806.34/19,120
  6. Step 6: Final answer
    x = 16,599.89

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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.