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Finding the Fourth Proportional to 13,598.66, 20,378.54 and 7,743.18

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Solution

The fourth proportional to 13,598.66, 20,378.54 and 7,743.18 is: 11,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.66 : 20,378.54 = 7,743.18 : x
  2. Step 2: Convert to fraction form
    13,598.66/20,378.54 = 7,743.18/x
  3. Step 3: Cross multiply
    13,598.66x = 20,378.54 × 7,743.18
  4. Step 4: Simplify right side
    13,598.66x = 157,794,703.36
  5. Step 5: Solve for x
    x = 157,794,703.36/13,598.66
  6. Step 6: Final answer
    x = 11,603.70

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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.