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Finding the Fourth Proportional to 1,637.51, 2,259.51 and 938.75

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Solution

The fourth proportional to 1,637.51, 2,259.51 and 938.75 is: 1,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.51 : 2,259.51 = 938.75 : x
  2. Step 2: Convert to fraction form
    1,637.51/2,259.51 = 938.75/x
  3. Step 3: Cross multiply
    1,637.51x = 2,259.51 × 938.75
  4. Step 4: Simplify right side
    1,637.51x = 2,121,115.01
  5. Step 5: Solve for x
    x = 2,121,115.01/1,637.51
  6. Step 6: Final answer
    x = 1,295.33

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Half scale
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Double scale
Find fourth proportional to 1,638.51, 2,260.89 and 939.75
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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.