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Finding the Fourth Proportional to 3,010.96, 4,155 and 1,648.21

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Solution

The fourth proportional to 3,010.96, 4,155 and 1,648.21 is: 2,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.96 : 4,155 = 1,648.21 : x
  2. Step 2: Convert to fraction form
    3,010.96/4,155 = 1,648.21/x
  3. Step 3: Cross multiply
    3,010.96x = 4,155 × 1,648.21
  4. Step 4: Simplify right side
    3,010.96x = 6,848,312.55
  5. Step 5: Solve for x
    x = 6,848,312.55/3,010.96
  6. Step 6: Final answer
    x = 2,274.46

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1.5x scale

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.