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Finding the Fourth Proportional to 2,648.77, 3,655.74 and 1,514.64

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Solution

The fourth proportional to 2,648.77, 3,655.74 and 1,514.64 is: 2,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.77 : 3,655.74 = 1,514.64 : x
  2. Step 2: Convert to fraction form
    2,648.77/3,655.74 = 1,514.64/x
  3. Step 3: Cross multiply
    2,648.77x = 3,655.74 × 1,514.64
  4. Step 4: Simplify right side
    2,648.77x = 5,537,130.03
  5. Step 5: Solve for x
    x = 5,537,130.03/2,648.77
  6. Step 6: Final answer
    x = 2,090.45

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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.