Home / 1,657.29-2,281.34-1,433.13

Finding the Fourth Proportional to 1,657.29, 2,281.34 and 1,433.13

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Solution

The fourth proportional to 1,657.29, 2,281.34 and 1,433.13 is: 1,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.29 : 2,281.34 = 1,433.13 : x
  2. Step 2: Convert to fraction form
    1,657.29/2,281.34 = 1,433.13/x
  3. Step 3: Cross multiply
    1,657.29x = 2,281.34 × 1,433.13
  4. Step 4: Simplify right side
    1,657.29x = 3,269,449.63
  5. Step 5: Solve for x
    x = 3,269,449.63/1,657.29
  6. Step 6: Final answer
    x = 1,972.77

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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.