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Finding the Fourth Proportional to 1,868.65, 2,578.91 and 1,029.53

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Solution

The fourth proportional to 1,868.65, 2,578.91 and 1,029.53 is: 1,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.65 : 2,578.91 = 1,029.53 : x
  2. Step 2: Convert to fraction form
    1,868.65/2,578.91 = 1,029.53/x
  3. Step 3: Cross multiply
    1,868.65x = 2,578.91 × 1,029.53
  4. Step 4: Simplify right side
    1,868.65x = 2,655,066.51
  5. Step 5: Solve for x
    x = 2,655,066.51/1,868.65
  6. Step 6: Final answer
    x = 1,420.85

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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.