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Finding the Fourth Proportional to 2,644.16, 3,649.50 and 1,686.87

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Solution

The fourth proportional to 2,644.16, 3,649.50 and 1,686.87 is: 2,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.16 : 3,649.50 = 1,686.87 : x
  2. Step 2: Convert to fraction form
    2,644.16/3,649.50 = 1,686.87/x
  3. Step 3: Cross multiply
    2,644.16x = 3,649.50 × 1,686.87
  4. Step 4: Simplify right side
    2,644.16x = 6,156,232.07
  5. Step 5: Solve for x
    x = 6,156,232.07/2,644.16
  6. Step 6: Final answer
    x = 2,328.24

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1.5x scale

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.