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Finding the Fourth Proportional to 1,904.96, 2,625.88 and 1,752.21

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Solution

The fourth proportional to 1,904.96, 2,625.88 and 1,752.21 is: 2,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.96 : 2,625.88 = 1,752.21 : x
  2. Step 2: Convert to fraction form
    1,904.96/2,625.88 = 1,752.21/x
  3. Step 3: Cross multiply
    1,904.96x = 2,625.88 × 1,752.21
  4. Step 4: Simplify right side
    1,904.96x = 4,601,084.43
  5. Step 5: Solve for x
    x = 4,601,084.43/1,904.96
  6. Step 6: Final answer
    x = 2,415.32

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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.