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Finding the Fourth Proportional to 1,943.81, 2,914.11 and 904.46

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Solution

The fourth proportional to 1,943.81, 2,914.11 and 904.46 is: 1,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.81 : 2,914.11 = 904.46 : x
  2. Step 2: Convert to fraction form
    1,943.81/2,914.11 = 904.46/x
  3. Step 3: Cross multiply
    1,943.81x = 2,914.11 × 904.46
  4. Step 4: Simplify right side
    1,943.81x = 2,635,681.36
  5. Step 5: Solve for x
    x = 2,635,681.36/1,943.81
  6. Step 6: Final answer
    x = 1,355.94

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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.