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Finding the Fourth Proportional to 1,420.84, 2,130.96 and 1,008.82

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Solution

The fourth proportional to 1,420.84, 2,130.96 and 1,008.82 is: 1,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.84 : 2,130.96 = 1,008.82 : x
  2. Step 2: Convert to fraction form
    1,420.84/2,130.96 = 1,008.82/x
  3. Step 3: Cross multiply
    1,420.84x = 2,130.96 × 1,008.82
  4. Step 4: Simplify right side
    1,420.84x = 2,149,755.07
  5. Step 5: Solve for x
    x = 2,149,755.07/1,420.84
  6. Step 6: Final answer
    x = 1,513.02

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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.