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Finding the Fourth Proportional to 2,402.60, 3,586.53 and 2,111

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Solution

The fourth proportional to 2,402.60, 3,586.53 and 2,111 is: 3,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.60 : 3,586.53 = 2,111 : x
  2. Step 2: Convert to fraction form
    2,402.60/3,586.53 = 2,111/x
  3. Step 3: Cross multiply
    2,402.60x = 3,586.53 × 2,111
  4. Step 4: Simplify right side
    2,402.60x = 7,571,154.28
  5. Step 5: Solve for x
    x = 7,571,154.28/2,402.60
  6. Step 6: Final answer
    x = 3,151.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.