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Finding the Fourth Proportional to 1,638.76, 2,260.92 and 975.64

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Solution

The fourth proportional to 1,638.76, 2,260.92 and 975.64 is: 1,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.76 : 2,260.92 = 975.64 : x
  2. Step 2: Convert to fraction form
    1,638.76/2,260.92 = 975.64/x
  3. Step 3: Cross multiply
    1,638.76x = 2,260.92 × 975.64
  4. Step 4: Simplify right side
    1,638.76x = 2,205,843.99
  5. Step 5: Solve for x
    x = 2,205,843.99/1,638.76
  6. Step 6: Final answer
    x = 1,346.04

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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.