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Finding the Fourth Proportional to 1,768, 2,432.64 and 1,622.20

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Solution

The fourth proportional to 1,768, 2,432.64 and 1,622.20 is: 2,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768 : 2,432.64 = 1,622.20 : x
  2. Step 2: Convert to fraction form
    1,768/2,432.64 = 1,622.20/x
  3. Step 3: Cross multiply
    1,768x = 2,432.64 × 1,622.20
  4. Step 4: Simplify right side
    1,768x = 3,946,228.61
  5. Step 5: Solve for x
    x = 3,946,228.61/1,768
  6. Step 6: Final answer
    x = 2,232.03

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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.