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Finding the Fourth Proportional to 2,003.48, 2,765 and 1,258

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Solution

The fourth proportional to 2,003.48, 2,765 and 1,258 is: 1,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.48 : 2,765 = 1,258 : x
  2. Step 2: Convert to fraction form
    2,003.48/2,765 = 1,258/x
  3. Step 3: Cross multiply
    2,003.48x = 2,765 × 1,258
  4. Step 4: Simplify right side
    2,003.48x = 3,478,370
  5. Step 5: Solve for x
    x = 3,478,370/2,003.48
  6. Step 6: Final answer
    x = 1,736.16

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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.