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Finding the Fourth Proportional to 1,886.67, 2,830.68 and 654.21

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Solution

The fourth proportional to 1,886.67, 2,830.68 and 654.21 is: 981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.67 : 2,830.68 = 654.21 : x
  2. Step 2: Convert to fraction form
    1,886.67/2,830.68 = 654.21/x
  3. Step 3: Cross multiply
    1,886.67x = 2,830.68 × 654.21
  4. Step 4: Simplify right side
    1,886.67x = 1,851,859.16
  5. Step 5: Solve for x
    x = 1,851,859.16/1,886.67
  6. Step 6: Final answer
    x = 981.55

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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.