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Finding the Fourth Proportional to 13,160, 19,749.74 and 6,234.52

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Solution

The fourth proportional to 13,160, 19,749.74 and 6,234.52 is: 9,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160 : 19,749.74 = 6,234.52 : x
  2. Step 2: Convert to fraction form
    13,160/19,749.74 = 6,234.52/x
  3. Step 3: Cross multiply
    13,160x = 19,749.74 × 6,234.52
  4. Step 4: Simplify right side
    13,160x = 123,130,149.02
  5. Step 5: Solve for x
    x = 123,130,149.02/13,160
  6. Step 6: Final answer
    x = 9,356.39

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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.