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Finding the Fourth Proportional to 7,314.40, 10,971.60 and 4,495.60

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Solution

The fourth proportional to 7,314.40, 10,971.60 and 4,495.60 is: 6,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.40 : 10,971.60 = 4,495.60 : x
  2. Step 2: Convert to fraction form
    7,314.40/10,971.60 = 4,495.60/x
  3. Step 3: Cross multiply
    7,314.40x = 10,971.60 × 4,495.60
  4. Step 4: Simplify right side
    7,314.40x = 49,323,924.96
  5. Step 5: Solve for x
    x = 49,323,924.96/7,314.40
  6. Step 6: Final answer
    x = 6,743.40

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1.5x scale

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.