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Finding the Fourth Proportional to 3,138.96, 4,703.45 and 1,658.13

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Solution

The fourth proportional to 3,138.96, 4,703.45 and 1,658.13 is: 2,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.96 : 4,703.45 = 1,658.13 : x
  2. Step 2: Convert to fraction form
    3,138.96/4,703.45 = 1,658.13/x
  3. Step 3: Cross multiply
    3,138.96x = 4,703.45 × 1,658.13
  4. Step 4: Simplify right side
    3,138.96x = 7,798,911.50
  5. Step 5: Solve for x
    x = 7,798,911.50/3,138.96
  6. Step 6: Final answer
    x = 2,484.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.