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Finding the Fourth Proportional to 2,993, 4,459.76 and 2,665.86

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Solution

The fourth proportional to 2,993, 4,459.76 and 2,665.86 is: 3,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993 : 4,459.76 = 2,665.86 : x
  2. Step 2: Convert to fraction form
    2,993/4,459.76 = 2,665.86/x
  3. Step 3: Cross multiply
    2,993x = 4,459.76 × 2,665.86
  4. Step 4: Simplify right side
    2,993x = 11,889,095.79
  5. Step 5: Solve for x
    x = 11,889,095.79/2,993
  6. Step 6: Final answer
    x = 3,972.30

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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.