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Finding the Fourth Proportional to 7,298, 10,071.78 and 4,155.20

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Solution

The fourth proportional to 7,298, 10,071.78 and 4,155.20 is: 5,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298 : 10,071.78 = 4,155.20 : x
  2. Step 2: Convert to fraction form
    7,298/10,071.78 = 4,155.20/x
  3. Step 3: Cross multiply
    7,298x = 10,071.78 × 4,155.20
  4. Step 4: Simplify right side
    7,298x = 41,850,260.26
  5. Step 5: Solve for x
    x = 41,850,260.26/7,298
  6. Step 6: Final answer
    x = 5,734.48

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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.