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Finding the Fourth Proportional to 2,599, 3,586.64 and 1,420.07

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Solution

The fourth proportional to 2,599, 3,586.64 and 1,420.07 is: 1,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599 : 3,586.64 = 1,420.07 : x
  2. Step 2: Convert to fraction form
    2,599/3,586.64 = 1,420.07/x
  3. Step 3: Cross multiply
    2,599x = 3,586.64 × 1,420.07
  4. Step 4: Simplify right side
    2,599x = 5,093,279.86
  5. Step 5: Solve for x
    x = 5,093,279.86/2,599
  6. Step 6: Final answer
    x = 1,959.71

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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.