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Finding the Fourth Proportional to 2,730, 3,767.40 and 1,488

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Solution

The fourth proportional to 2,730, 3,767.40 and 1,488 is: 2,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730 : 3,767.40 = 1,488 : x
  2. Step 2: Convert to fraction form
    2,730/3,767.40 = 1,488/x
  3. Step 3: Cross multiply
    2,730x = 3,767.40 × 1,488
  4. Step 4: Simplify right side
    2,730x = 5,605,891.20
  5. Step 5: Solve for x
    x = 5,605,891.20/2,730
  6. Step 6: Final answer
    x = 2,053.44

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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.