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Finding the Fourth Proportional to 2,350.34, 3,525.98 and 706.81

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Solution

The fourth proportional to 2,350.34, 3,525.98 and 706.81 is: 1,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.34 : 3,525.98 = 706.81 : x
  2. Step 2: Convert to fraction form
    2,350.34/3,525.98 = 706.81/x
  3. Step 3: Cross multiply
    2,350.34x = 3,525.98 × 706.81
  4. Step 4: Simplify right side
    2,350.34x = 2,492,197.92
  5. Step 5: Solve for x
    x = 2,492,197.92/2,350.34
  6. Step 6: Final answer
    x = 1,060.36

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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.