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Finding the Fourth Proportional to 2,689.95, 4,036.79 and 1,046.51

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Solution

The fourth proportional to 2,689.95, 4,036.79 and 1,046.51 is: 1,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.95 : 4,036.79 = 1,046.51 : x
  2. Step 2: Convert to fraction form
    2,689.95/4,036.79 = 1,046.51/x
  3. Step 3: Cross multiply
    2,689.95x = 4,036.79 × 1,046.51
  4. Step 4: Simplify right side
    2,689.95x = 4,224,538.67
  5. Step 5: Solve for x
    x = 4,224,538.67/2,689.95
  6. Step 6: Final answer
    x = 1,570.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.