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Finding the Fourth Proportional to 1,918, 2,646.51 and 1,078.74

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Solution

The fourth proportional to 1,918, 2,646.51 and 1,078.74 is: 1,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918 : 2,646.51 = 1,078.74 : x
  2. Step 2: Convert to fraction form
    1,918/2,646.51 = 1,078.74/x
  3. Step 3: Cross multiply
    1,918x = 2,646.51 × 1,078.74
  4. Step 4: Simplify right side
    1,918x = 2,854,896.20
  5. Step 5: Solve for x
    x = 2,854,896.20/1,918
  6. Step 6: Final answer
    x = 1,488.48

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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.