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Finding the Fourth Proportional to 5,180.08, 7,770 and 2,258.32

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Solution

The fourth proportional to 5,180.08, 7,770 and 2,258.32 is: 3,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.08 : 7,770 = 2,258.32 : x
  2. Step 2: Convert to fraction form
    5,180.08/7,770 = 2,258.32/x
  3. Step 3: Cross multiply
    5,180.08x = 7,770 × 2,258.32
  4. Step 4: Simplify right side
    5,180.08x = 17,547,146.40
  5. Step 5: Solve for x
    x = 17,547,146.40/5,180.08
  6. Step 6: Final answer
    x = 3,387.43

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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.