Home / 2,114.70-3,165.76-1,569.30

Finding the Fourth Proportional to 2,114.70, 3,165.76 and 1,569.30

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Solution

The fourth proportional to 2,114.70, 3,165.76 and 1,569.30 is: 2,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.70 : 3,165.76 = 1,569.30 : x
  2. Step 2: Convert to fraction form
    2,114.70/3,165.76 = 1,569.30/x
  3. Step 3: Cross multiply
    2,114.70x = 3,165.76 × 1,569.30
  4. Step 4: Simplify right side
    2,114.70x = 4,968,027.17
  5. Step 5: Solve for x
    x = 4,968,027.17/2,114.70
  6. Step 6: Final answer
    x = 2,349.28

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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.