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Finding the Fourth Proportional to 2,165.87, 2,989.00 and 1,368.91

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Solution

The fourth proportional to 2,165.87, 2,989.00 and 1,368.91 is: 1,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.87 : 2,989.00 = 1,368.91 : x
  2. Step 2: Convert to fraction form
    2,165.87/2,989.00 = 1,368.91/x
  3. Step 3: Cross multiply
    2,165.87x = 2,989.00 × 1,368.91
  4. Step 4: Simplify right side
    2,165.87x = 4,091,661.10
  5. Step 5: Solve for x
    x = 4,091,661.10/2,165.87
  6. Step 6: Final answer
    x = 1,889.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.