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Finding the Fourth Proportional to 1,421.89, 2,130.04 and 803.73

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Solution

The fourth proportional to 1,421.89, 2,130.04 and 803.73 is: 1,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.89 : 2,130.04 = 803.73 : x
  2. Step 2: Convert to fraction form
    1,421.89/2,130.04 = 803.73/x
  3. Step 3: Cross multiply
    1,421.89x = 2,130.04 × 803.73
  4. Step 4: Simplify right side
    1,421.89x = 1,711,977.05
  5. Step 5: Solve for x
    x = 1,711,977.05/1,421.89
  6. Step 6: Final answer
    x = 1,204.02

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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.