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Finding the Fourth Proportional to 12,991.41, 19,490 and 6,062.13

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Solution

The fourth proportional to 12,991.41, 19,490 and 6,062.13 is: 9,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.41 : 19,490 = 6,062.13 : x
  2. Step 2: Convert to fraction form
    12,991.41/19,490 = 6,062.13/x
  3. Step 3: Cross multiply
    12,991.41x = 19,490 × 6,062.13
  4. Step 4: Simplify right side
    12,991.41x = 118,150,913.70
  5. Step 5: Solve for x
    x = 118,150,913.70/12,991.41
  6. Step 6: Final answer
    x = 9,094.54

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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.