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Finding the Fourth Proportional to 2,389.16, 3,583.57 and 634.13

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Solution

The fourth proportional to 2,389.16, 3,583.57 and 634.13 is: 951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.16 : 3,583.57 = 634.13 : x
  2. Step 2: Convert to fraction form
    2,389.16/3,583.57 = 634.13/x
  3. Step 3: Cross multiply
    2,389.16x = 3,583.57 × 634.13
  4. Step 4: Simplify right side
    2,389.16x = 2,272,431.33
  5. Step 5: Solve for x
    x = 2,272,431.33/2,389.16
  6. Step 6: Final answer
    x = 951.14

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1.5x scale

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.