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Finding the Fourth Proportional to 5,071.74, 7,608.63 and 1,787.16

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Solution

The fourth proportional to 5,071.74, 7,608.63 and 1,787.16 is: 2,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.74 : 7,608.63 = 1,787.16 : x
  2. Step 2: Convert to fraction form
    5,071.74/7,608.63 = 1,787.16/x
  3. Step 3: Cross multiply
    5,071.74x = 7,608.63 × 1,787.16
  4. Step 4: Simplify right side
    5,071.74x = 13,597,839.19
  5. Step 5: Solve for x
    x = 13,597,839.19/5,071.74
  6. Step 6: Final answer
    x = 2,681.10

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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.