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Finding the Fourth Proportional to 1,730.88, 2,377 and 1,482.20

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Solution

The fourth proportional to 1,730.88, 2,377 and 1,482.20 is: 2,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.88 : 2,377 = 1,482.20 : x
  2. Step 2: Convert to fraction form
    1,730.88/2,377 = 1,482.20/x
  3. Step 3: Cross multiply
    1,730.88x = 2,377 × 1,482.20
  4. Step 4: Simplify right side
    1,730.88x = 3,523,189.40
  5. Step 5: Solve for x
    x = 3,523,189.40/1,730.88
  6. Step 6: Final answer
    x = 2,035.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.