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Finding the Fourth Proportional to 2,602.35, 3,902.91 and 1,043.51

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Solution

The fourth proportional to 2,602.35, 3,902.91 and 1,043.51 is: 1,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.35 : 3,902.91 = 1,043.51 : x
  2. Step 2: Convert to fraction form
    2,602.35/3,902.91 = 1,043.51/x
  3. Step 3: Cross multiply
    2,602.35x = 3,902.91 × 1,043.51
  4. Step 4: Simplify right side
    2,602.35x = 4,072,706.10
  5. Step 5: Solve for x
    x = 4,072,706.10/2,602.35
  6. Step 6: Final answer
    x = 1,565.01

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