Home / 1,420.93-2,129.61-761.17

Finding the Fourth Proportional to 1,420.93, 2,129.61 and 761.17

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Solution

The fourth proportional to 1,420.93, 2,129.61 and 761.17 is: 1,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.93 : 2,129.61 = 761.17 : x
  2. Step 2: Convert to fraction form
    1,420.93/2,129.61 = 761.17/x
  3. Step 3: Cross multiply
    1,420.93x = 2,129.61 × 761.17
  4. Step 4: Simplify right side
    1,420.93x = 1,620,997.15
  5. Step 5: Solve for x
    x = 1,620,997.15/1,420.93
  6. Step 6: Final answer
    x = 1,140.80

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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.