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Finding the Fourth Proportional to 1,641.84, 2,444.88 and 1,623.66

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Solution

The fourth proportional to 1,641.84, 2,444.88 and 1,623.66 is: 2,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.84 : 2,444.88 = 1,623.66 : x
  2. Step 2: Convert to fraction form
    1,641.84/2,444.88 = 1,623.66/x
  3. Step 3: Cross multiply
    1,641.84x = 2,444.88 × 1,623.66
  4. Step 4: Simplify right side
    1,641.84x = 3,969,653.86
  5. Step 5: Solve for x
    x = 3,969,653.86/1,641.84
  6. Step 6: Final answer
    x = 2,417.81

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1.5x scale

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.