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Finding the Fourth Proportional to 2,389.36, 3,583.74 and 657.88

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Solution

The fourth proportional to 2,389.36, 3,583.74 and 657.88 is: 986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.36 : 3,583.74 = 657.88 : x
  2. Step 2: Convert to fraction form
    2,389.36/3,583.74 = 657.88/x
  3. Step 3: Cross multiply
    2,389.36x = 3,583.74 × 657.88
  4. Step 4: Simplify right side
    2,389.36x = 2,357,670.87
  5. Step 5: Solve for x
    x = 2,357,670.87/2,389.36
  6. Step 6: Final answer
    x = 986.74

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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.