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Finding the Fourth Proportional to 2,529.68, 3,489 and 1,688.88

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Solution

The fourth proportional to 2,529.68, 3,489 and 1,688.88 is: 2,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.68 : 3,489 = 1,688.88 : x
  2. Step 2: Convert to fraction form
    2,529.68/3,489 = 1,688.88/x
  3. Step 3: Cross multiply
    2,529.68x = 3,489 × 1,688.88
  4. Step 4: Simplify right side
    2,529.68x = 5,892,502.32
  5. Step 5: Solve for x
    x = 5,892,502.32/2,529.68
  6. Step 6: Final answer
    x = 2,329.35

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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.