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Finding the Fourth Proportional to 2,169.30, 3,252.98 and 688.10

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Solution

The fourth proportional to 2,169.30, 3,252.98 and 688.10 is: 1,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.30 : 3,252.98 = 688.10 : x
  2. Step 2: Convert to fraction form
    2,169.30/3,252.98 = 688.10/x
  3. Step 3: Cross multiply
    2,169.30x = 3,252.98 × 688.10
  4. Step 4: Simplify right side
    2,169.30x = 2,238,368.03
  5. Step 5: Solve for x
    x = 2,238,368.03/2,169.30
  6. Step 6: Final answer
    x = 1,031.84

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1.5x scale

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.