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Finding the Fourth Proportional to 2,129.69, 2,939.69 and 1,457.90

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Solution

The fourth proportional to 2,129.69, 2,939.69 and 1,457.90 is: 2,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.69 : 2,939.69 = 1,457.90 : x
  2. Step 2: Convert to fraction form
    2,129.69/2,939.69 = 1,457.90/x
  3. Step 3: Cross multiply
    2,129.69x = 2,939.69 × 1,457.90
  4. Step 4: Simplify right side
    2,129.69x = 4,285,774.02
  5. Step 5: Solve for x
    x = 4,285,774.02/2,129.69
  6. Step 6: Final answer
    x = 2,012.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.