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Finding the Fourth Proportional to 3,001.50, 4,142.30 and 1,675.40

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Solution

The fourth proportional to 3,001.50, 4,142.30 and 1,675.40 is: 2,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.50 : 4,142.30 = 1,675.40 : x
  2. Step 2: Convert to fraction form
    3,001.50/4,142.30 = 1,675.40/x
  3. Step 3: Cross multiply
    3,001.50x = 4,142.30 × 1,675.40
  4. Step 4: Simplify right side
    3,001.50x = 6,940,009.42
  5. Step 5: Solve for x
    x = 6,940,009.42/3,001.50
  6. Step 6: Final answer
    x = 2,312.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.