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Finding the Fourth Proportional to 5,387.92, 7,448.96 and 4,731.60

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Solution

The fourth proportional to 5,387.92, 7,448.96 and 4,731.60 is: 6,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.92 : 7,448.96 = 4,731.60 : x
  2. Step 2: Convert to fraction form
    5,387.92/7,448.96 = 4,731.60/x
  3. Step 3: Cross multiply
    5,387.92x = 7,448.96 × 4,731.60
  4. Step 4: Simplify right side
    5,387.92x = 35,245,499.14
  5. Step 5: Solve for x
    x = 35,245,499.14/5,387.92
  6. Step 6: Final answer
    x = 6,541.58

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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.