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Finding the Fourth Proportional to 1,886.88, 2,830.32 and 1,020.72

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Solution

The fourth proportional to 1,886.88, 2,830.32 and 1,020.72 is: 1,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.88 : 2,830.32 = 1,020.72 : x
  2. Step 2: Convert to fraction form
    1,886.88/2,830.32 = 1,020.72/x
  3. Step 3: Cross multiply
    1,886.88x = 2,830.32 × 1,020.72
  4. Step 4: Simplify right side
    1,886.88x = 2,888,964.23
  5. Step 5: Solve for x
    x = 2,888,964.23/1,886.88
  6. Step 6: Final answer
    x = 1,531.08

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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.