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Finding the Fourth Proportional to 1,926.48, 2,889.98 and 939.34

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Solution

The fourth proportional to 1,926.48, 2,889.98 and 939.34 is: 1,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.48 : 2,889.98 = 939.34 : x
  2. Step 2: Convert to fraction form
    1,926.48/2,889.98 = 939.34/x
  3. Step 3: Cross multiply
    1,926.48x = 2,889.98 × 939.34
  4. Step 4: Simplify right side
    1,926.48x = 2,714,673.81
  5. Step 5: Solve for x
    x = 2,714,673.81/1,926.48
  6. Step 6: Final answer
    x = 1,409.14

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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.