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Finding the Fourth Proportional to 1,695.64, 2,539.51 and 1,648.93

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Solution

The fourth proportional to 1,695.64, 2,539.51 and 1,648.93 is: 2,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.64 : 2,539.51 = 1,648.93 : x
  2. Step 2: Convert to fraction form
    1,695.64/2,539.51 = 1,648.93/x
  3. Step 3: Cross multiply
    1,695.64x = 2,539.51 × 1,648.93
  4. Step 4: Simplify right side
    1,695.64x = 4,187,474.22
  5. Step 5: Solve for x
    x = 4,187,474.22/1,695.64
  6. Step 6: Final answer
    x = 2,469.55

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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.