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Finding the Fourth Proportional to 2,860.53, 4,291.40 and 886.29

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Solution

The fourth proportional to 2,860.53, 4,291.40 and 886.29 is: 1,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.53 : 4,291.40 = 886.29 : x
  2. Step 2: Convert to fraction form
    2,860.53/4,291.40 = 886.29/x
  3. Step 3: Cross multiply
    2,860.53x = 4,291.40 × 886.29
  4. Step 4: Simplify right side
    2,860.53x = 3,803,424.91
  5. Step 5: Solve for x
    x = 3,803,424.91/2,860.53
  6. Step 6: Final answer
    x = 1,329.62

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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.