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Finding the Fourth Proportional to 2,648.88, 3,655.44 and 1,529.80

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Solution

The fourth proportional to 2,648.88, 3,655.44 and 1,529.80 is: 2,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.88 : 3,655.44 = 1,529.80 : x
  2. Step 2: Convert to fraction form
    2,648.88/3,655.44 = 1,529.80/x
  3. Step 3: Cross multiply
    2,648.88x = 3,655.44 × 1,529.80
  4. Step 4: Simplify right side
    2,648.88x = 5,592,092.11
  5. Step 5: Solve for x
    x = 5,592,092.11/2,648.88
  6. Step 6: Final answer
    x = 2,111.12

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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.