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Finding the Fourth Proportional to 1,903.69, 2,626.14 and 1,641.25

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Solution

The fourth proportional to 1,903.69, 2,626.14 and 1,641.25 is: 2,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.69 : 2,626.14 = 1,641.25 : x
  2. Step 2: Convert to fraction form
    1,903.69/2,626.14 = 1,641.25/x
  3. Step 3: Cross multiply
    1,903.69x = 2,626.14 × 1,641.25
  4. Step 4: Simplify right side
    1,903.69x = 4,310,152.28
  5. Step 5: Solve for x
    x = 4,310,152.28/1,903.69
  6. Step 6: Final answer
    x = 2,264.10

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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.