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Finding the Fourth Proportional to 1,726.58, 2,385.10 and 1,540

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Solution

The fourth proportional to 1,726.58, 2,385.10 and 1,540 is: 2,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.58 : 2,385.10 = 1,540 : x
  2. Step 2: Convert to fraction form
    1,726.58/2,385.10 = 1,540/x
  3. Step 3: Cross multiply
    1,726.58x = 2,385.10 × 1,540
  4. Step 4: Simplify right side
    1,726.58x = 3,673,054
  5. Step 5: Solve for x
    x = 3,673,054/1,726.58
  6. Step 6: Final answer
    x = 2,127.36

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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.