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Finding the Fourth Proportional to 5,314.17, 7,968.51 and 2,389.98

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Solution

The fourth proportional to 5,314.17, 7,968.51 and 2,389.98 is: 3,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.17 : 7,968.51 = 2,389.98 : x
  2. Step 2: Convert to fraction form
    5,314.17/7,968.51 = 2,389.98/x
  3. Step 3: Cross multiply
    5,314.17x = 7,968.51 × 2,389.98
  4. Step 4: Simplify right side
    5,314.17x = 19,044,579.53
  5. Step 5: Solve for x
    x = 19,044,579.53/5,314.17
  6. Step 6: Final answer
    x = 3,583.74

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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.