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Finding the Fourth Proportional to 2,665.84, 4,003.08 and 1,646.32

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Solution

The fourth proportional to 2,665.84, 4,003.08 and 1,646.32 is: 2,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.84 : 4,003.08 = 1,646.32 : x
  2. Step 2: Convert to fraction form
    2,665.84/4,003.08 = 1,646.32/x
  3. Step 3: Cross multiply
    2,665.84x = 4,003.08 × 1,646.32
  4. Step 4: Simplify right side
    2,665.84x = 6,590,350.67
  5. Step 5: Solve for x
    x = 6,590,350.67/2,665.84
  6. Step 6: Final answer
    x = 2,472.15

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1.5x scale

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.