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Finding the Fourth Proportional to 5,386.92, 7,412.16 and 5,257.32

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Solution

The fourth proportional to 5,386.92, 7,412.16 and 5,257.32 is: 7,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.92 : 7,412.16 = 5,257.32 : x
  2. Step 2: Convert to fraction form
    5,386.92/7,412.16 = 5,257.32/x
  3. Step 3: Cross multiply
    5,386.92x = 7,412.16 × 5,257.32
  4. Step 4: Simplify right side
    5,386.92x = 38,968,097.01
  5. Step 5: Solve for x
    x = 38,968,097.01/5,386.92
  6. Step 6: Final answer
    x = 7,233.84

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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.