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Finding the Fourth Proportional to 9,749.60, 14,617.20 and 4,198.40

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Solution

The fourth proportional to 9,749.60, 14,617.20 and 4,198.40 is: 6,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.60 : 14,617.20 = 4,198.40 : x
  2. Step 2: Convert to fraction form
    9,749.60/14,617.20 = 4,198.40/x
  3. Step 3: Cross multiply
    9,749.60x = 14,617.20 × 4,198.40
  4. Step 4: Simplify right side
    9,749.60x = 61,368,852.48
  5. Step 5: Solve for x
    x = 61,368,852.48/9,749.60
  6. Step 6: Final answer
    x = 6,294.50

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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.