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Finding the Fourth Proportional to 7,172.56, 9,898.64 and 4,188.48

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Solution

The fourth proportional to 7,172.56, 9,898.64 and 4,188.48 is: 5,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.56 : 9,898.64 = 4,188.48 : x
  2. Step 2: Convert to fraction form
    7,172.56/9,898.64 = 4,188.48/x
  3. Step 3: Cross multiply
    7,172.56x = 9,898.64 × 4,188.48
  4. Step 4: Simplify right side
    7,172.56x = 41,460,255.67
  5. Step 5: Solve for x
    x = 41,460,255.67/7,172.56
  6. Step 6: Final answer
    x = 5,780.40

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1.5x scale

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.