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Finding the Fourth Proportional to 2,886.58, 4,323.12 and 1,421.02

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Solution

The fourth proportional to 2,886.58, 4,323.12 and 1,421.02 is: 2,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.58 : 4,323.12 = 1,421.02 : x
  2. Step 2: Convert to fraction form
    2,886.58/4,323.12 = 1,421.02/x
  3. Step 3: Cross multiply
    2,886.58x = 4,323.12 × 1,421.02
  4. Step 4: Simplify right side
    2,886.58x = 6,143,239.98
  5. Step 5: Solve for x
    x = 6,143,239.98/2,886.58
  6. Step 6: Final answer
    x = 2,128.21

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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.