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Finding the Fourth Proportional to 1,648.70, 2,463.50 and 1,389.50

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Solution

The fourth proportional to 1,648.70, 2,463.50 and 1,389.50 is: 2,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.70 : 2,463.50 = 1,389.50 : x
  2. Step 2: Convert to fraction form
    1,648.70/2,463.50 = 1,389.50/x
  3. Step 3: Cross multiply
    1,648.70x = 2,463.50 × 1,389.50
  4. Step 4: Simplify right side
    1,648.70x = 3,423,033.25
  5. Step 5: Solve for x
    x = 3,423,033.25/1,648.70
  6. Step 6: Final answer
    x = 2,076.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.