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Finding the Fourth Proportional to 2,984.86, 4,119.01 and 1,658.53

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Solution

The fourth proportional to 2,984.86, 4,119.01 and 1,658.53 is: 2,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.86 : 4,119.01 = 1,658.53 : x
  2. Step 2: Convert to fraction form
    2,984.86/4,119.01 = 1,658.53/x
  3. Step 3: Cross multiply
    2,984.86x = 4,119.01 × 1,658.53
  4. Step 4: Simplify right side
    2,984.86x = 6,831,501.66
  5. Step 5: Solve for x
    x = 6,831,501.66/2,984.86
  6. Step 6: Final answer
    x = 2,288.72

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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.