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Finding the Fourth Proportional to 3,001.96, 4,142.76 and 1,675.76

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Solution

The fourth proportional to 3,001.96, 4,142.76 and 1,675.76 is: 2,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.96 : 4,142.76 = 1,675.76 : x
  2. Step 2: Convert to fraction form
    3,001.96/4,142.76 = 1,675.76/x
  3. Step 3: Cross multiply
    3,001.96x = 4,142.76 × 1,675.76
  4. Step 4: Simplify right side
    3,001.96x = 6,942,271.50
  5. Step 5: Solve for x
    x = 6,942,271.50/3,001.96
  6. Step 6: Final answer
    x = 2,312.58

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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.